D. Mihalache, “Multidimensional localized structures in optical and matter-wave media: a topical survey of recent literature,” Rom. Rep. Phys. 69(1), 403 (2017).

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

J. Zeng and B. A. Malomed, “Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity,” Phys. Rev. E 95(5), 052214 (2017).

M. A. Porras and F. Ramos, “Quasi-ideal dynamics of vortex solitons embedded in flattop nonlinear Bessel beams,” Opt. Lett. 42(17), 3275–3278 (2017).

[PubMed]

A. S. Reyna and C. B. de Araújo, “Guiding and confinement of light induced by optical vortex solitons in a cubic-quintic medium,” Opt. Lett. 41(1), 191–194 (2016).

[PubMed]

Y. F. Song, H. Zhang, L. M. Zhao, D. Y. Shen, and D. Y. Tang, “Coexistence and interaction of vector and bound vector solitons in a dispersion-managed fiber laser mode locked by graphene,” Opt. Express 24(2), 1814–1822 (2016).

[PubMed]

D. Mihalache, “Localized optical structures: an overview of recent theoretical and experimental developments,” Proc. Romanian Acad. A 16(1), 62–69 (2015).

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

B. A. Malomed, “Spatial solitons supported by localized gain,” J. Opt. Soc. Am. B 31(10), 2460–2475 (2014).

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

N. N. Rosanov, G. B. Sochilin, V. D. Vinokurova, and N. V. Vysotina, “Spatial and temporal structures in cavities with oscillating boundaries,” Philos Trans A Math Phys Eng Sci 372(2027), 20140012 (2014).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

B. Liu, Y.-F. Liu, and X.-D. He, “Impact of phase on collision between vortex solitons in three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Opt. Express 22(21), 26203–26211 (2014).

[PubMed]

V. L. Kalashnikov and E. Sorokin, “Dissipative raman solitons,” Opt. Express 22(24), 30118–30126 (2014).

[PubMed]

B. Liu, X.-D. He, and S.-J. Li, “Continuous emission of fundamental solitons from vortices in dissipative media by a radial-azimuthal potential,” Opt. Express 21(5), 5561–5566 (2013).

[PubMed]

C. Huang, F. Ye, B. A. Malomed, Y. V. Kartashov, and X. Chen, “Solitary vortices supported by localized parametric gain,” Opt. Lett. 38(13), 2177–2180 (2013).

[PubMed]

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Twin-vortex solitons in nonlocal nonlinear media,” Opt. Lett. 35(5), 628–630 (2010).

[PubMed]

Y. J. He, B. A. Malomed, F. W. Ye, and B. B. Hu, “Dynamics of dissipative spatial solitons over a sharp potential,” J. Opt. Soc. Am. B 27(5), 1139–1142 (2010).

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,”, Proc. SPIE 5508, 16–31 (2005).

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, “Stable soliton complexes in two-dimensional photonic lattices,” Opt. Lett. 29(16), 1918–1920 (2004).

[PubMed]

P. Mandel and M. Tlidi, “Transverse dynamics in cavity nonlinear optics,” J. Opt. B 6(9), R60–R75 (2004).

J. R. Salgueiro, A. H. Carlsson, E. Ostrovskaya, and Y. Kivshar, “Second-harmonic generation in vortex-induced waveguides,” Opt. Lett. 29(6), 593–595 (2004).

[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

N. Akhmediev, J. M. Soto-Crespo, and G. Town, “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: complex Ginzburg-Landau equation approach,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(5 Pt 2), 056602 (2001).

[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(1 Pt 2), 016605 (2001).

[PubMed]

A. H. Carlsson, J. N. Malmberg, D. Anderson, M. Lisak, E. A. Ostrovskaya, T. J. Alexander, and Y. S. Kivshar, “Linear and nonlinear waveguides induced by optical vortex solitons,” Opt. Lett. 25(9), 660–662 (2000).

[PubMed]

C. T. Law, X. Zhang, and G. A. Swartzlander, “Waveguiding properties of optical vortex solitons,” Opt. Lett. 25(1), 55–57 (2000).

[PubMed]

D. Rozas and G. A. Swartzlander., “Observed rotational enhancement of nonlinear optical vortices,” Opt. Lett. 25(2), 126–128 (2000).

[PubMed]

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298(2–3), 81–197 (1998).

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14(11), 3054–3065 (1997).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

V. Tikhonenko and N. N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126(1), 108–112 (1996).

W. J. Firth and A. J. Scroggie, “Optical bullet holes: robust controllable localized states of a nonlinear cavity,” Phys. Rev. Lett. 76(10), 1623–1626 (1996).

[PubMed]

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 53(1), 1190–1201 (1996).

[PubMed]

G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69(17), 2503–2506 (1992).

[PubMed]

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 53(1), 1190–1201 (1996).

[PubMed]

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).

W. Chang, N. Akhmediev, S. Wabnitz, and M. Taki, “Influence of external phase and gain-loss modulation on bound solitons in laser systems,” J. Opt. Soc. Am. B 26(11), 2204–2210 (2009).

N. Akhmediev, J. M. Soto-Crespo, and G. Town, “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: complex Ginzburg-Landau equation approach,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(5 Pt 2), 056602 (2001).

[PubMed]

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 53(1), 1190–1201 (1996).

[PubMed]

V. Tikhonenko and N. N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126(1), 108–112 (1996).

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

I. S. Aranson and L. Kramer, “The world of the complex Ginzburg-Landau equation,” Rev. Mod. Phys. 74(11), 99–143 (2002).

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

J. R. Salgueiro, A. H. Carlsson, E. Ostrovskaya, and Y. Kivshar, “Second-harmonic generation in vortex-induced waveguides,” Opt. Lett. 29(6), 593–595 (2004).

[PubMed]

A. H. Carlsson, J. N. Malmberg, D. Anderson, M. Lisak, E. A. Ostrovskaya, T. J. Alexander, and Y. S. Kivshar, “Linear and nonlinear waveguides induced by optical vortex solitons,” Opt. Lett. 25(9), 660–662 (2000).

[PubMed]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, “Stable soliton complexes in two-dimensional photonic lattices,” Opt. Lett. 29(16), 1918–1920 (2004).

[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(1 Pt 2), 016605 (2001).

[PubMed]

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,”, Proc. SPIE 5508, 16–31 (2005).

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

W. J. Firth and A. J. Scroggie, “Optical bullet holes: robust controllable localized states of a nonlinear cavity,” Phys. Rev. Lett. 76(10), 1623–1626 (1996).

[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

B. Liu, Y.-F. Liu, and X.-D. He, “Impact of phase on collision between vortex solitons in three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Opt. Express 22(21), 26203–26211 (2014).

[PubMed]

B. Liu, X.-D. He, and S.-J. Li, “Continuous emission of fundamental solitons from vortices in dissipative media by a radial-azimuthal potential,” Opt. Express 21(5), 5561–5566 (2013).

[PubMed]

C. Huang, F. Ye, B. A. Malomed, Y. V. Kartashov, and X. Chen, “Solitary vortices supported by localized parametric gain,” Opt. Lett. 38(13), 2177–2180 (2013).

[PubMed]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Twin-vortex solitons in nonlocal nonlinear media,” Opt. Lett. 35(5), 628–630 (2010).

[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, “Stable soliton complexes in two-dimensional photonic lattices,” Opt. Lett. 29(16), 1918–1920 (2004).

[PubMed]

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,”, Proc. SPIE 5508, 16–31 (2005).

A. H. Carlsson, J. N. Malmberg, D. Anderson, M. Lisak, E. A. Ostrovskaya, T. J. Alexander, and Y. S. Kivshar, “Linear and nonlinear waveguides induced by optical vortex solitons,” Opt. Lett. 25(9), 660–662 (2000).

[PubMed]

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298(2–3), 81–197 (1998).

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

I. S. Aranson and L. Kramer, “The world of the complex Ginzburg-Landau equation,” Rev. Mod. Phys. 74(11), 99–143 (2002).

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

C. T. Law, X. Zhang, and G. A. Swartzlander, “Waveguiding properties of optical vortex solitons,” Opt. Lett. 25(1), 55–57 (2000).

[PubMed]

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14(11), 3054–3065 (1997).

G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69(17), 2503–2506 (1992).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

B. Liu, Y.-F. Liu, and X.-D. He, “Impact of phase on collision between vortex solitons in three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Opt. Express 22(21), 26203–26211 (2014).

[PubMed]

B. Liu, X.-D. He, and S.-J. Li, “Continuous emission of fundamental solitons from vortices in dissipative media by a radial-azimuthal potential,” Opt. Express 21(5), 5561–5566 (2013).

[PubMed]

Y. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298(2–3), 81–197 (1998).

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

J. Zeng and B. A. Malomed, “Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity,” Phys. Rev. E 95(5), 052214 (2017).

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

B. A. Malomed, “Spatial solitons supported by localized gain,” J. Opt. Soc. Am. B 31(10), 2460–2475 (2014).

C. Huang, F. Ye, B. A. Malomed, Y. V. Kartashov, and X. Chen, “Solitary vortices supported by localized parametric gain,” Opt. Lett. 38(13), 2177–2180 (2013).

[PubMed]

Y. J. He, B. A. Malomed, F. W. Ye, and B. B. Hu, “Dynamics of dissipative spatial solitons over a sharp potential,” J. Opt. Soc. Am. B 27(5), 1139–1142 (2010).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(1 Pt 2), 016605 (2001).

[PubMed]

P. Mandel and M. Tlidi, “Transverse dynamics in cavity nonlinear optics,” J. Opt. B 6(9), R60–R75 (2004).

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

D. Mihalache, “Multidimensional localized structures in optical and matter-wave media: a topical survey of recent literature,” Rom. Rep. Phys. 69(1), 403 (2017).

D. Mihalache, “Localized optical structures: an overview of recent theoretical and experimental developments,” Proc. Romanian Acad. A 16(1), 62–69 (2015).

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(1 Pt 2), 016605 (2001).

[PubMed]

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).

N. N. Rosanov, G. B. Sochilin, V. D. Vinokurova, and N. V. Vysotina, “Spatial and temporal structures in cavities with oscillating boundaries,” Philos Trans A Math Phys Eng Sci 372(2027), 20140012 (2014).

[PubMed]

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

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[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

V. Skarka, N. B. Aleksić, M. Lekić, B. N. Aleksić, B. A. Malomed, D. Mihalache, and H. Leblond, “Formation of complex two-dimensional dissipative solitons via spontaneous symmetry breaking,” Phys. Rev. A 90(2), 023845 (2014).

V. Skarka, N. B. Aleksić, H. Leblond, B. A. Malomed, and D. Mihalache, “Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses,” Phys. Rev. Lett. 105(21), 213901 (2010).

[PubMed]

D. Mihalache, D. Mazilu, V. Skarka, B. A. Malomed, H. Leblond, N. B. Aleksić, and F. Lederer, “Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials,” Phys. Rev. A 82(2), 023813 (2010).

N. N. Rosanov, G. B. Sochilin, V. D. Vinokurova, and N. V. Vysotina, “Spatial and temporal structures in cavities with oscillating boundaries,” Philos Trans A Math Phys Eng Sci 372(2027), 20140012 (2014).

[PubMed]

N. Akhmediev, J. M. Soto-Crespo, and G. Town, “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: complex Ginzburg-Landau equation approach,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(5 Pt 2), 056602 (2001).

[PubMed]

N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 53(1), 1190–1201 (1996).

[PubMed]

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

C. T. Law, X. Zhang, and G. A. Swartzlander, “Waveguiding properties of optical vortex solitons,” Opt. Lett. 25(1), 55–57 (2000).

[PubMed]

D. Rozas and G. A. Swartzlander., “Observed rotational enhancement of nonlinear optical vortices,” Opt. Lett. 25(2), 126–128 (2000).

[PubMed]

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14(11), 3054–3065 (1997).

G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69(17), 2503–2506 (1992).

[PubMed]

Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152(1–3), 198–206 (1998).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

V. Tikhonenko and N. N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126(1), 108–112 (1996).

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

C. Fernandez-Oto, G. J. De Valcárcel, M. Tlidi, K. Panajotov, and K. Staliunas, “Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers,” Phys. Rev. A 89(5), 055802 (2014).

P. Mandel and M. Tlidi, “Transverse dynamics in cavity nonlinear optics,” J. Opt. B 6(9), R60–R75 (2004).

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Twin-vortex solitons in nonlocal nonlinear media,” Opt. Lett. 35(5), 628–630 (2010).

[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. Lett. 97(7), 073904 (2006).

[PubMed]

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[PubMed]

N. Akhmediev, J. M. Soto-Crespo, and G. Town, “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: complex Ginzburg-Landau equation approach,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(5 Pt 2), 056602 (2001).

[PubMed]

I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

N. N. Rosanov, G. B. Sochilin, V. D. Vinokurova, and N. V. Vysotina, “Spatial and temporal structures in cavities with oscillating boundaries,” Philos Trans A Math Phys Eng Sci 372(2027), 20140012 (2014).

[PubMed]

M. Tlidi, K. Staliunas, K. Panajotov, A. G. Vladimirov, and M. G. Clerc, “Localized structures in dissipative media: from optics to plant ecology,” Philos Trans A Math Phys Eng Sci 372(2027), 20140101 (2014).

[PubMed]

N. N. Rosanov, G. B. Sochilin, V. D. Vinokurova, and N. V. Vysotina, “Spatial and temporal structures in cavities with oscillating boundaries,” Philos Trans A Math Phys Eng Sci 372(2027), 20140012 (2014).

[PubMed]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).

C. Huang, F. Ye, B. A. Malomed, Y. V. Kartashov, and X. Chen, “Solitary vortices supported by localized parametric gain,” Opt. Lett. 38(13), 2177–2180 (2013).

[PubMed]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Twin-vortex solitons in nonlocal nonlinear media,” Opt. Lett. 35(5), 628–630 (2010).

[PubMed]

J. Zeng and B. A. Malomed, “Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity,” Phys. Rev. E 95(5), 052214 (2017).

A. M. Yao and M. J. Padgett, “Orbital angular momentum: origins, behavior and applications,” Adv. Opt. Photonics 3(2), 161–204 (2011).

R. Kuszelewicz, S. Barbay, G. Tissoni, and G. Almuneau, “Editorial on dissipative optical solitons,” Eur. Phys. J. D 59(1), 1–2 (2010).

H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, “Cis bound states of three localized states of the cubic-quintic CGL equation,” J. Opt. A 8(3), 319–326 (2006).

P. Mandel and M. Tlidi, “Transverse dynamics in cavity nonlinear optics,” J. Opt. B 6(9), R60–R75 (2004).

B. Luther-Davies, J. Christou, V. Tikhonenko, and Y. S. Kivshar, “Optical vortex solitons: experiment versus theory,” J. Opt. Soc. Am. B 14(11), 3045–3053 (1997).

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14(11), 3054–3065 (1997).

W. Chang, N. Akhmediev, S. Wabnitz, and M. Taki, “Influence of external phase and gain-loss modulation on bound solitons in laser systems,” J. Opt. Soc. Am. B 26(11), 2204–2210 (2009).

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J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).

[PubMed]

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I. Velchev, A. Dreischuh, D. Neshev, and S. Dinev, “Interactions of optical vortex solitons superimposed on different background beams,” Opt. Commun. 130(130), 385–392 (1996).

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151(4–6), 413–421 (1998).

V. Tikhonenko and N. N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126(1), 108–112 (1996).

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[PubMed]

V. Skarka, N. B. Aleksić, W. Krolikowski, D. N. Christodoulides, S. Rakotoarimalala, B. N. Aleksić, and M. Belić, “Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension,” Opt. Express 25(9), 10090–10102 (2017).

[PubMed]

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[PubMed]

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[PubMed]

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[PubMed]

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[PubMed]

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[PubMed]

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[PubMed]

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D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, “Stability of dissipative optical solitons in thethree-dimensional cubic-quintic Ginzburg-Landau equation,” Phys. Rev. A 75(75), 033811 (2007).

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J. Zeng and B. A. Malomed, “Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity,” Phys. Rev. E 95(5), 052214 (2017).

N. Akhmediev, J. M. Soto-Crespo, and G. Town, “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: complex Ginzburg-Landau equation approach,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63(5 Pt 2), 056602 (2001).

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[PubMed]

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