J. Wang and J. Yang, “Families of vortex solitons in periodic media,” Phys. Rev. A 77, 033834 (2008).
[Crossref]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Observation of polychromatic vortex solitons,” Opt. Lett. 33, 1851 (2008).
[Crossref]
[PubMed]
N. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043902 (2005).
[Crossref]
[PubMed]
J. Yang, “Stability of vortex solitons in a photorefractive optical lattice,” New J. Phys. 6, 47 (2004).
[Crossref]
T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, “Asymmetric Vortex Solitons in Nonlinear Periodic Lattices,” Phys. Rev. Lett. 93, 063901 (2004).
[Crossref]
[PubMed]
H. Michinel, J. R. Salgueiro, and M. J. Paz-Alonso, “Square vortex solitons with a large angular momentum,” Phys. Rev. E 70, 066605 (2004).
[Crossref]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
B. A. Malomed, L.-C. Crasovan, and D. Mihalache, “Stability of vortex solitons in the cubic-quintic model,” Physica D 161, 187–201 (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]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
V. Tikhonenko, Y. Kivshar, V.V. Steblina, and A.A. Zozulya, “Vortex solitons in a saturable optical medium,” J. Opt. Soc. Am. B 15, 79–86 (1998).
[Crossref]
J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov “Solitary-wave Vortices in Quadratic Nonlinear Media,” J. Opt. Soc. Am. B 15, 625–627 (1998).
[Crossref]
V. Tikhonenko and N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126, 108 (1996).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).
[Crossref]
G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69, 2503–2506 (1992).
[Crossref]
[PubMed]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[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. Tikhonenko and N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126, 108 (1996).
[Crossref]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, “Asymmetric Vortex Solitons in Nonlinear Periodic Lattices,” Phys. Rev. Lett. 93, 063901 (2004).
[Crossref]
[PubMed]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[Crossref]
G. K. Batchelor,An Introduction to Fluid Dynamics, (Cambridge University Press, 1967).
V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[Crossref]
B. A. Malomed, L.-C. Crasovan, and D. Mihalache, “Stability of vortex solitons in the cubic-quintic model,” Physica D 161, 187–201 (2002).
[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]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[Crossref]
D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Observation of polychromatic vortex solitons,” Opt. Lett. 33, 1851 (2008).
[Crossref]
[PubMed]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
N. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
N. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043902 (2005).
[Crossref]
[PubMed]
D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Observation of polychromatic vortex solitons,” Opt. Lett. 33, 1851 (2008).
[Crossref]
[PubMed]
T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, “Asymmetric Vortex Solitons in Nonlinear Periodic Lattices,” Phys. Rev. Lett. 93, 063901 (2004).
[Crossref]
[PubMed]
H. Kleinert, Multivalued Fields in Condensed Matter, Electrodynamics, and Gravitation, (World Scientific, Singapore, 2008).
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69, 2503–2506 (1992).
[Crossref]
[PubMed]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
N. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
B. A. Malomed, L.-C. Crasovan, and D. Mihalache, “Stability of vortex solitons in the cubic-quintic model,” Physica D 161, 187–201 (2002).
[Crossref]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (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]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
H. Michinel, J. R. Salgueiro, and M. J. Paz-Alonso, “Square vortex solitons with a large angular momentum,” Phys. Rev. E 70, 066605 (2004).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
B. A. Malomed, L.-C. Crasovan, and D. Mihalache, “Stability of vortex solitons in the cubic-quintic model,” Physica D 161, 187–201 (2002).
[Crossref]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (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]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
H. Michinel, J. R. Salgueiro, and M. J. Paz-Alonso, “Square vortex solitons with a large angular momentum,” Phys. Rev. E 70, 066605 (2004).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
N. N. Rosanov, “Solitons in laser systems with saturable absorption,” in: Dissipative solitons, (Eds.) N. Akhmediev and A. Ankiewicz, Lecture Notes in Physics, V. 661, Springer, Heidelberg, 2005.
H. Michinel, J. R. Salgueiro, and M. J. Paz-Alonso, “Square vortex solitons with a large angular momentum,” Phys. Rev. E 70, 066605 (2004).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[Crossref]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).
[Crossref]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[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]
J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov “Solitary-wave Vortices in Quadratic Nonlinear Media,” J. Opt. Soc. Am. B 15, 625–627 (1998).
[Crossref]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, “Asymmetric Vortex Solitons in Nonlinear Periodic Lattices,” Phys. Rev. Lett. 93, 063901 (2004).
[Crossref]
[PubMed]
G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69, 2503–2506 (1992).
[Crossref]
[PubMed]
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043902 (2005).
[Crossref]
[PubMed]
J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov “Solitary-wave Vortices in Quadratic Nonlinear Media,” J. Opt. Soc. Am. B 15, 625–627 (1998).
[Crossref]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[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. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).
[Crossref]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043902 (2005).
[Crossref]
[PubMed]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
J. Wang and J. Yang, “Families of vortex solitons in periodic media,” Phys. Rev. A 77, 033834 (2008).
[Crossref]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
J. Wang and J. Yang, “Families of vortex solitons in periodic media,” Phys. Rev. A 77, 033834 (2008).
[Crossref]
J. Yang, “Stability of vortex solitons in a photorefractive optical lattice,” New J. Phys. 6, 47 (2004).
[Crossref]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
S. V. Fedorov, N. Rosanov, A. N. Shatsev, N. A. Veretenov, and A. G. Vladimirov, “Topologically multicharged and multihumped rotating solitons in wide-aperture lasers with a saturable absorber,” IEEE J. Quantum Electron. 39, 197 (2003).
[Crossref]
V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).
[Crossref]
H. Michinel, J. Campo-Táboas, M. L. Quiroga-Teixeiro, J. R. Salgueiro, and R. Garćia-Fernández, “Excitation of stable vortex solitons in nonlinear cubic-quintic materials,” J. Opt. B: Quantum Semiclass. Opt. 3, 314–317 (2001).
[Crossref]
V. Tikhonenko, Y. Kivshar, V.V. Steblina, and A.A. Zozulya, “Vortex solitons in a saturable optical medium,” J. Opt. Soc. Am. B 15, 79–86 (1998).
[Crossref]
J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov “Solitary-wave Vortices in Quadratic Nonlinear Media,” J. Opt. Soc. Am. B 15, 625–627 (1998).
[Crossref]
J. Yang, “Stability of vortex solitons in a photorefractive optical lattice,” New J. Phys. 6, 47 (2004).
[Crossref]
V. Tikhonenko and N. Akhmediev, “Excitation of vortex solitons in a Gaussian beam configuration,” Opt. Commun. 126, 108 (1996).
[Crossref]
I. Towers, A. V. Buryak, R. A. Sammut, B. A. Malomed, L. C. Crasovan, and D. Mihalache, “Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation,” Phys. Lett. A 288, 292 (2001).
[Crossref]
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, “Natural Wormholes as Gravitational Lenses,” Phys. Rev. D51, 3117–3120 (1995).
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed. “Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation,” Phys. Rev. A 77, 033817 (2008).
[Crossref]
J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. Akhmediev, “Stability of the higher-bound states in a saturable self-focusing medium,” Phys. Rev. A 44, 636–644 (1991).
[Crossref]
[PubMed]
A. Ankiewicz, N. Devine, N. Akhmediev, and J. M. Soto-Crespo “Continuously self-focusing and continuously self-defocusing 2-D beams in dissipative media,” Phys. Rev. A 77, 033840 (2008).
[Crossref]
J. Wang and J. Yang, “Families of vortex solitons in periodic media,” Phys. Rev. A 77, 033834 (2008).
[Crossref]
Y. J. He, B. A. Malomed, D. Mihalache, and H. Z. Wang, ”Crescent vortex solitons in strongly nonlocal nonlinear media,” Phys. Rev. A 78, 023824 (2008).
[Crossref]
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, and H. Walther, “Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium,” Phys. Rev. E 60, 6111–6117 (1999).
[Crossref]
H. Michinel, J. R. Salgueiro, and M. J. Paz-Alonso, “Square vortex solitons with a large angular momentum,” Phys. Rev. E 70, 066605 (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]
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]
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043902 (2005).
[Crossref]
[PubMed]
T. J. Alexander, A. A. Sukhorukov, and Y. S. Kivshar, “Asymmetric Vortex Solitons in Nonlinear Periodic Lattices,” Phys. Rev. Lett. 93, 063901 (2004).
[Crossref]
[PubMed]
G. A. Swartzlander and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69, 2503–2506 (1992).
[Crossref]
[PubMed]
N. K. Efremidis, K. Hizanidis, B. A. Malomed, and P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[Crossref]
[PubMed]
B. A. Malomed, L.-C. Crasovan, and D. Mihalache, “Stability of vortex solitons in the cubic-quintic model,” Physica D 161, 187–201 (2002).
[Crossref]
N. N. Rosanov, “Solitons in laser systems with saturable absorption,” in: Dissipative solitons, (Eds.) N. Akhmediev and A. Ankiewicz, Lecture Notes in Physics, V. 661, Springer, Heidelberg, 2005.
G. K. Batchelor,An Introduction to Fluid Dynamics, (Cambridge University Press, 1967).
H. Kleinert, Multivalued Fields in Condensed Matter, Electrodynamics, and Gravitation, (World Scientific, Singapore, 2008).