H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[CrossRef]

Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[CrossRef]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

Y. He and D. Mihalache, “Soliton drift or swing induced by spatially inhomogeneous losses in media described by the complex Ginzburg–Landau,” J. Opt. Soc. Am. B 29, 2554–2558 (2012).

[CrossRef]

Y. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, “Stable surface solitons in truncated complex potentials,” Opt. Lett. 37, 2526–2528 (2012).

[CrossRef]

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

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (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]

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]

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

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

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, 213901 (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]

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. Bludov and V. V. Konotop, “Nonlinear patterns in Bose-Einstein condensates in dissipative optical lattices,” Phys. Rev. A 81, 013625 (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. J. Phys. Special Topics 173, 233–243 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Solitons in complex optical lattices,” Eur. J. Phys. Special Topics 173, 87–105 (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]

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

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[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]

Y. J. He, B. A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E 74, 066615 (2006).

[CrossRef]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).

[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 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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

Y. V. Kartashov, R. Carettero-Gonzaléz, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Multipole-mode solitons in Bessel optical lattices,” Opt. Express 13, 10703–10710 (2005).

[CrossRef]

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

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Rotary motion in Bessel optical lattices,” Phys. Rev. Lett. 93, 093904 (2004).

[CrossRef]

P. Mandel and M. Tlidi, “Transverse dynamics in cavity nonlinear optics,” J. Opt. B 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]

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 (2001).

[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]

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]

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]

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]

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. 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, 213901 (2010).

[CrossRef]

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

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E 74, 066615 (2006).

[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]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).

[CrossRef]

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. J. Phys. Special Topics 173, 233–243 (2009).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[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, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (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 (2001).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (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]

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, 319–326 (2006).

[CrossRef]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[CrossRef]

Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[CrossRef]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

Y. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, “Stable surface solitons in truncated complex potentials,” Opt. Lett. 37, 2526–2528 (2012).

[CrossRef]

Y. He and D. Mihalache, “Soliton drift or swing induced by spatially inhomogeneous losses in media described by the complex Ginzburg–Landau,” J. Opt. Soc. Am. B 29, 2554–2558 (2012).

[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, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[CrossRef]

Y. J. He, B. A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).

[CrossRef]

Y. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, “Stable surface solitons in truncated complex potentials,” Opt. Lett. 37, 2526–2528 (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]

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, 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, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (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. Kartashov, V. A. Vysloukh, and L. Torner, “Solitons in complex optical lattices,” Eur. J. Phys. Special Topics 173, 87–105 (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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

Y. V. Kartashov, R. Carettero-Gonzaléz, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Multipole-mode solitons in Bessel optical lattices,” Opt. Express 13, 10703–10710 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Rotary motion in Bessel optical lattices,” Phys. Rev. Lett. 93, 093904 (2004).

[CrossRef]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

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

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. J. Phys. Special Topics 173, 233–243 (2009).

[CrossRef]

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, 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 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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[CrossRef]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[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]

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]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).

[CrossRef]

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, 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. J. Phys. Special Topics 173, 233–243 (2009).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[CrossRef]

Y. J. He, B. A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).

[CrossRef]

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

[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]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E 74, 066615 (2006).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

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

[CrossRef]

Y. V. Kartashov, R. Carettero-Gonzaléz, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Multipole-mode solitons in Bessel optical lattices,” Opt. Express 13, 10703–10710 (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 (2001).

[CrossRef]

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

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

[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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[CrossRef]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

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

Y. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, “Stable surface solitons in truncated complex potentials,” Opt. Lett. 37, 2526–2528 (2012).

[CrossRef]

Y. He and D. Mihalache, “Soliton drift or swing induced by spatially inhomogeneous losses in media described by the complex Ginzburg–Landau,” J. Opt. Soc. Am. B 29, 2554–2558 (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. 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, 213901 (2010).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B 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 (2001).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[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).

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

B. B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E 74, 066615 (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 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 8, 319–326 (2006).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[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. 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, 213901 (2010).

[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]

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 6, R60–R75 (2004).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (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. 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]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Solitons in complex optical lattices,” Eur. J. Phys. Special Topics 173, 87–105 (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]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

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

[CrossRef]

Y. V. Kartashov, R. Carettero-Gonzaléz, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Multipole-mode solitons in Bessel optical lattices,” Opt. Express 13, 10703–10710 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Rotary motion in Bessel optical lattices,” Phys. Rev. Lett. 93, 093904 (2004).

[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]

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]

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

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Solitons in complex optical lattices,” Eur. J. Phys. Special Topics 173, 87–105 (2009).

[CrossRef]

Y. V. Kartashov, R. Carettero-Gonzaléz, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Multipole-mode solitons in Bessel optical lattices,” Opt. Express 13, 10703–10710 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Rotary motion in Bessel optical lattices,” Phys. Rev. Lett. 93, 093904 (2004).

[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. J. Phys. Special Topics 173, 233–243 (2009).

[CrossRef]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[CrossRef]

Y. J. He, B. A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).

[CrossRef]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).

[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, “Spatiotemporal optical solitons,” J. Opt. B 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]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[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]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Solitons in complex optical lattices,” Eur. J. Phys. Special Topics 173, 87–105 (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. J. Phys. Special 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 8, 319–326 (2006).

[CrossRef]

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

[CrossRef]

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

[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]

Y. He and D. Mihalache, “Soliton drift or swing induced by spatially inhomogeneous losses in media described by the complex Ginzburg–Landau,” J. Opt. Soc. Am. B 29, 2554–2558 (2012).

[CrossRef]

Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, “Tunable rotary orbits of matter-wave nonlinear modes in attractive Bose-Einstein condensates,” J. Phys. B 41, 055301 (2008).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

H. Wang, W. Zhu, J. Liu, D. Ling, and Y. He, “Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg–Landau model,” Opt. Commun. 306, 160–164 (2013).

[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. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, “Stable surface solitons in truncated complex potentials,” Opt. Lett. 37, 2526–2528 (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]

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]

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. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[CrossRef]

Y. J. He, B. A. Malomed, and H. Z. Wang, “Steering the motion of rotary solitons in radial lattices,” Phys. Rev. A 76, 053601 (2007).

[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. B. Baizakov, B. A. Malomed, and M. Salerno, “Matter-wave solitons in radially periodic potentials,” Phys. Rev. E 74, 066615 (2006).

[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]

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 (2001).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[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]

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, 213901 (2010).

[CrossRef]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices,” Phys. Rev. Lett. 96, 083904 (2006).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, “Stable spatiotemporal optical solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Rotary motion in Bessel optical lattices,” Phys. Rev. Lett. 93, 093904 (2004).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).

[CrossRef]

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).

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

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. (Routledge, 2005), pp. 157–160.