Topological solitons in 1+2 dimensions with time-dependent coefficients

Progress In Electromagnetics Research Letters

Volumn 10, Issue , 2009, Pages 69-75

  Sturdevant, B ^a   Lott, D A ^a   Biswas, A ^a  

^a DELAWARE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; TOPOLOGY;

KERR LAW NONLINEARITY; POWER-LAW NONLINEARITY; TIME-DEPENDENT COEFFICIENTS; TOPOLOGICAL SOLITON;

SOLITONS;

EID: 70350174373     PISSN: 19376480     EISSN: None     Source Type: Journal    
DOI: 10.2528/PIERL09070804     Document Type: Article

References (15)

1. Ablowitz, M. J. and H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, PA, 1981.
2. Biswas, A., "Topological 1-soliton solution of the nonlinear Schrödinger's equation with Kerr law nonlinearity in 1+2 dimensions," Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 7, 2845-2847, 2009.
3. Escudero, C., "Blow-up of the hyperbolic Burger's equation," Journal of Statistical Physics, Vol. 127, No. 2, 327-338, 2007.
4. Jordan, P. M., "Growth and decay of shock and accleration waves in a traffic flow model with relaxation," Physical D, Vol. 207, No. 3-4, 220-229, 2005.
5. Khalique, C. M. and A. Biswas, "Optical solitons with parabolic and dual-power law nonlinearity via lie symmetry analysis," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 7, 963-973, 2009.
6. Konar, S., S. Jana, and S. Shwetanshumala, "Incoherently coupled screening photovoltaic spatial solitons in biased photovoltaic photorefractive crystals," Optics Communications, Vol. 273, No. 2, 324-333, 2007.
7. Konar, S., S. Jana, and M. Mishra, "Induced focussing and all optical switching in cubic-quintic nonlinear media," Optics Communications, Vol. 255, No. 1-3, 114-129, 2005.
8. Kudryashov, N. A. and N. B. Loguinova, "Be careful with expfunction method," Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 5, 1881-1890, 2009.
9. Kudryashov, N. A., "Seven common errors in finding exact solutions of nonlinear differential equations," Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 9-10, 3507-3529, 2009.
10. Lott, D. A., A. Henriquez, B. J. M. Sturdevant, and A. Biswas, "A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger's equation with square-root law nonlinearity", Applied Mathematics and Computation, Vol. 207, No. 2, 319-326, 2009.
11. Makarenko, A. S., M. N. Moskalkov, and S. P. Levkov, "On blowup solutions in turbulence," Physics Letters A, Vol. 235, No. 4, 391-397, 1997.
12. Sturdevant, B. J. M., D. A. Lott, and A. Biswas, "Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation," Communicat. in Nonlinear Science and Numerical Simulation, Vol. 14, No. 8, 3305-3308, 2009.
13. Sulem, C. and P. Sulem, The Nonlinear Schrödinger's Equation, Springer Verlag, New York, NY, 1999.
14. Wazwaz, A. M., "Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity," Mathem. and Comp. Mod., Vol. 43, No. 1-2, 178-184, 2006.
15. Wazwaz, A. M., "A study on linear and nonlinear Schrödinger equations by the variational iteration method," Chaos, Solitons & Fractals, Vol. 37, No. 4, 1136-1142, 2008.