D. Mihalache, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Phys. 57, 352–371 (2012).

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

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

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

D. Mihalache, “Topological dissipative nonlinear modes in two- and three-dimensional Ginzburg–Landau models with trapping potentials,” Rom. Rep. Phys. 63, 9–24 (2011).

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Solitons in a medium with linear dissipation and localized gain,” Opt. Lett. 36, 1200–1202 (2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, “Symmetry breaking and multipeaked solitons in inhomogeneous gain landscapes,” Phys. Rev. A 83, 041806(R) (2011).

[CrossRef]

Y. V. Bludov and V. V. Konotop, “Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices,” Phys. Rev. A 81, 013625 (2010).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

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, 1139–1142 (2010).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

D. Mihalache, “Three-dimensional Ginzburg-Landau dissipative solitons supported by a two-dimensional transverse grating,” Proc. Rom. Acad. A 11, 142–147 (2010).

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, “Dissipative ring solitons with vorticity,” Opt. Express 17, 4236–4250 (2009).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

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, 2204–2210 (2009).

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

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

[CrossRef]

D. Mihalache and D. Mazilu, “Ginzburg–Landau spatiotemporal dissipative optical solitons,” Rom. Rep. Phys. 60, 749–761 (2008).

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

[CrossRef]

B. A. Malomed, “Solitary pulses in linearly coupled Ginzburg–Landau equations,” Chaos 17, 037117 (2007).

[CrossRef]

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, 073904 (2006).

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Universal properties of self-organized localized structures,” Appl. Phys. B 81, 937–943 (2005).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

Z. Bakonyi, D. Michaelis, U. Peschel, G. Onishchukov, and F. Lederer, “Dissipative solitons and their critical slowing down near a supercritical bifurcation,” J. Opt. Soc. Am. B 19, 487–491 (2002).

[CrossRef]

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 63, 056602 (2001).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg–Landau equation,” Phys. Rev. E 63, 016605 (2000).

[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. Ramazza, “Pattern formation and competition in nonlinear optics,” Phys. Rep. 318, 1–83 (1999).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

V. V. Afanasjev, N. Akhmediev, and J. M. Soto-Crespo, “Three forms of localized solutions of the quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1931–1939 (1996).

[CrossRef]

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 53, 1190–1201 (1996).

[CrossRef]

L. Gil, K. Emilsson, and G.-L. Oppo, “Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation,” Phys. Rev. A 45, R567 (1992).

[CrossRef]

V. V. Afanasjev, N. Akhmediev, and J. M. Soto-Crespo, “Three forms of localized solutions of the quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1931–1939 (1996).

[CrossRef]

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 53, 1190–1201 (1996).

[CrossRef]

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

[CrossRef]

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, 2204–2210 (2009).

[CrossRef]

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, “Dissipative ring solitons with vorticity,” Opt. Express 17, 4236–4250 (2009).

[CrossRef]

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 63, 056602 (2001).

[CrossRef]

V. V. Afanasjev, N. Akhmediev, and J. M. Soto-Crespo, “Three forms of localized solutions of the quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1931–1939 (1996).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Dissipative Solitons, Vol. 661 of Lecture Notes in Physics (Springer, 2005).

N. Akhmediev and A. Ankiewicz, Dissipative Solitons: from Optics to Biology and Medicine, Vol. 751 of Lecture Notes in Physics (Springer, 2008).

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 53, 1190–1201 (1996).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Dissipative Solitons: from Optics to Biology and Medicine, Vol. 751 of Lecture Notes in Physics (Springer, 2008).

N. Akhmediev and A. Ankiewicz, Dissipative Solitons, Vol. 661 of Lecture Notes in Physics (Springer, 2005).

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

[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. Ramazza, “Pattern formation and competition in nonlinear optics,” Phys. Rep. 318, 1–83 (1999).

[CrossRef]

F. T. Arecchi, J. Bragard, and L. M. Castellano, in Bose-Einstein Condensates and Atom Lasers (Kluwer, 2002).

Y. V. Bludov and V. V. Konotop, “Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices,” Phys. Rev. A 81, 013625 (2010).

[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. Ramazza, “Pattern formation and competition in nonlinear optics,” Phys. Rep. 318, 1–83 (1999).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

F. T. Arecchi, J. Bragard, and L. M. Castellano, in Bose-Einstein Condensates and Atom Lasers (Kluwer, 2002).

F. T. Arecchi, J. Bragard, and L. M. Castellano, in Bose-Einstein Condensates and Atom Lasers (Kluwer, 2002).

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

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

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, 073904 (2006).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg–Landau equation,” Phys. Rev. E 63, 016605 (2000).

[CrossRef]

L. Gil, K. Emilsson, and G.-L. Oppo, “Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation,” Phys. Rev. A 45, R567 (1992).

[CrossRef]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Universal properties of self-organized localized structures,” Appl. Phys. B 81, 937–943 (2005).

[CrossRef]

L. Gil, K. Emilsson, and G.-L. Oppo, “Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation,” Phys. Rev. A 45, R567 (1992).

[CrossRef]

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

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

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, 1139–1142 (2010).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Solitons in a medium with linear dissipation and localized gain,” Opt. Lett. 36, 1200–1202 (2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, “Symmetry breaking and multipeaked solitons in inhomogeneous gain landscapes,” Phys. Rev. A 83, 041806(R) (2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

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, 073904 (2006).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, “Symmetry breaking and multipeaked solitons in inhomogeneous gain landscapes,” Phys. Rev. A 83, 041806(R) (2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Solitons in a medium with linear dissipation and localized gain,” Opt. Lett. 36, 1200–1202 (2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

Y. V. Bludov and V. V. Konotop, “Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices,” Phys. Rev. A 81, 013625 (2010).

[CrossRef]

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

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

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

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

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

[CrossRef]

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, 073904 (2006).

[CrossRef]

Z. Bakonyi, D. Michaelis, U. Peschel, G. Onishchukov, and F. Lederer, “Dissipative solitons and their critical slowing down near a supercritical bifurcation,” J. Opt. Soc. Am. B 19, 487–491 (2002).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

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, 1139–1142 (2010).

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

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

[CrossRef]

B. A. Malomed, “Solitary pulses in linearly coupled Ginzburg–Landau equations,” Chaos 17, 037117 (2007).

[CrossRef]

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, 073904 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg–Landau equation,” Phys. Rev. E 63, 016605 (2000).

[CrossRef]

B. A. Malomed, “Complex Ginzburg–Landau equation,” in Encyclopedia of Nonlinear Science, A. Scott, ed., pp. 157–160 (Routledge, 2005).

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

[CrossRef]

D. Mihalache and D. Mazilu, “Ginzburg–Landau spatiotemporal dissipative optical solitons,” Rom. Rep. Phys. 60, 749–761 (2008).

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

[CrossRef]

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, 073904 (2006).

[CrossRef]

D. Mihalache, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Phys. 57, 352–371 (2012).

D. Mihalache, “Topological dissipative nonlinear modes in two- and three-dimensional Ginzburg–Landau models with trapping potentials,” Rom. Rep. Phys. 63, 9–24 (2011).

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

D. Mihalache, “Three-dimensional Ginzburg-Landau dissipative solitons supported by a two-dimensional transverse grating,” Proc. Rom. Acad. A 11, 142–147 (2010).

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

D. Mihalache and D. Mazilu, “Ginzburg–Landau spatiotemporal dissipative optical solitons,” Rom. Rep. Phys. 60, 749–761 (2008).

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

[CrossRef]

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, 073904 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg–Landau equation,” Phys. Rev. E 63, 016605 (2000).

[CrossRef]

L. Gil, K. Emilsson, and G.-L. Oppo, “Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation,” Phys. Rev. A 45, R567 (1992).

[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. Ramazza, “Pattern formation and competition in nonlinear optics,” Phys. Rep. 318, 1–83 (1999).

[CrossRef]

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

[CrossRef]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Universal properties of self-organized localized structures,” Appl. Phys. B 81, 937–943 (2005).

[CrossRef]

N. N. Rosanov, Spatial Hysteresis and Optical Patterns(Springer, 2002).

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Universal properties of self-organized localized structures,” Appl. Phys. B 81, 937–943 (2005).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, “Dissipative ring solitons with vorticity,” Opt. Express 17, 4236–4250 (2009).

[CrossRef]

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 63, 056602 (2001).

[CrossRef]

V. V. Afanasjev, N. Akhmediev, and J. M. Soto-Crespo, “Three forms of localized solutions of the quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1931–1939 (1996).

[CrossRef]

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 53, 1190–1201 (1996).

[CrossRef]

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

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

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, 073904 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

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 63, 056602 (2001).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, “Symmetry breaking and multipeaked solitons in inhomogeneous gain landscapes,” Phys. Rev. A 83, 041806(R) (2011).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

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

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Universal properties of self-organized localized structures,” Appl. Phys. B 81, 937–943 (2005).

[CrossRef]

B. A. Malomed, “Solitary pulses in linearly coupled Ginzburg–Landau equations,” Chaos 17, 037117 (2007).

[CrossRef]

C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, “Spatial solitons supported by localized gain in nonlinear optical waveguides,” Eur. Phys. J. Spec. Topics 173, 233–243 (2009).

[CrossRef]

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 Pure Appl. Opt. 8, 319–326 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B Quantum Semiclass. Opt. 7, R53–R72 (2005).

[CrossRef]

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

[CrossRef]

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, 2204–2210 (2009).

[CrossRef]

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, 1139–1142 (2010).

[CrossRef]

Z. Bakonyi, D. Michaelis, U. Peschel, G. Onishchukov, and F. Lederer, “Dissipative solitons and their critical slowing down near a supercritical bifurcation,” J. Opt. Soc. Am. B 19, 487–491 (2002).

[CrossRef]

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

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, V. E. Lobanov, B. A. Malomed, and L. Torner, “Solitons supported by spatially inhomogeneous nonlinear losses,” Opt. Express 20, 2657–2667 (2012).

[CrossRef]

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, “Dissipative ring solitons with vorticity,” Opt. Express 17, 4236–4250 (2009).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, “Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential,” Opt. Lett. 34, 2976–2978 (2009).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, “Dissipative defect modes in periodic structures,” Opt. Lett. 35, 1638–1640 (2010).

[CrossRef]

V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable radially symmetric and azimuthally modulated vortex solitons supported by localized gain,” Opt. Lett. 36, 85–87 (2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Solitons in a medium with linear dissipation and localized gain,” Opt. Lett. 36, 1200–1202 (2011).

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Rotating vortex solitons supported by localized gain,” Opt. Lett. 36, 1936–1938 (2011).

[CrossRef]

O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, “Vortex twins and anti-twins supported by multi-ring gain landscapes,” Opt. Lett. 36, 3783–3785(2011).

[CrossRef]

F. T. Arecchi, S. Boccaletti, and P. Ramazza, “Pattern formation and competition in nonlinear optics,” Phys. Rep. 318, 1–83 (1999).

[CrossRef]

Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, “Symmetry breaking and multipeaked solitons in inhomogeneous gain landscapes,” Phys. Rev. A 83, 041806(R) (2011).

[CrossRef]

Y. V. Bludov and V. V. Konotop, “Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices,” Phys. Rev. A 81, 013625 (2010).

[CrossRef]

B. Kneer, T. Wong, K. Vogel, W. P. Schleich, and D. F. Walls, “Generic model of an atom laser,” Phys. Rev. A 58, 4841–4853 (1998).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and L. Torner, “Stable vortex-soliton tori with multiple nested phase singularities in dissipative media,” Phys. Rev. A 85, 023814 (2012).

[CrossRef]

V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Topological light bullets supported by spatiotemporal gain,” Phys. Rev. A 85, 023804 (2012).

[CrossRef]

L. Gil, K. Emilsson, and G.-L. Oppo, “Dynamics of spiral waves in a spatially inhomogeneous Hopf bifurcation,” Phys. Rev. A 45, R567 (1992).

[CrossRef]

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 63, 056602 (2001).

[CrossRef]

V. V. Afanasjev, N. Akhmediev, and J. M. Soto-Crespo, “Three forms of localized solutions of the quintic complex Ginzburg–Landau equation,” Phys. Rev. E 53, 1931–1939 (1996).

[CrossRef]

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 53, 1190–1201 (1996).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache, “Stable vortex solitons in the two-dimensional Ginzburg–Landau equation,” Phys. Rev. E 63, 016605 (2000).

[CrossRef]

V. Skarka, N. B. Aleksic, 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, 213901 (2010).

[CrossRef]

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, 073904 (2006).

[CrossRef]

D. Mihalache, “Three-dimensional Ginzburg-Landau dissipative solitons supported by a two-dimensional transverse grating,” Proc. Rom. Acad. A 11, 142–147 (2010).

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

[CrossRef]

D. Mihalache, “Linear and nonlinear light bullets: recent theoretical and experimental studies,” Rom. J. Phys. 57, 352–371 (2012).

D. Mihalache, “Topological dissipative nonlinear modes in two- and three-dimensional Ginzburg–Landau models with trapping potentials,” Rom. Rep. Phys. 63, 9–24 (2011).

D. Mihalache and D. Mazilu, “Ginzburg–Landau spatiotemporal dissipative optical solitons,” Rom. Rep. Phys. 60, 749–761 (2008).

N. N. Rosanov, Spatial Hysteresis and Optical Patterns(Springer, 2002).

B. A. Malomed, “Complex Ginzburg–Landau equation,” in Encyclopedia of Nonlinear Science, A. Scott, ed., pp. 157–160 (Routledge, 2005).

N. Akhmediev and A. Ankiewicz, Dissipative Solitons: from Optics to Biology and Medicine, Vol. 751 of Lecture Notes in Physics (Springer, 2008).

N. Akhmediev and A. Ankiewicz, Dissipative Solitons, Vol. 661 of Lecture Notes in Physics (Springer, 2005).

F. T. Arecchi, J. Bragard, and L. M. Castellano, in Bose-Einstein Condensates and Atom Lasers (Kluwer, 2002).