Topological 1-soliton solution of the nonlinear Schrödinger equation with Kerr law nonlinearity in \(1 + 2\) dimensions

DOI10.1016/j.cnsns.2008.09.025zbMath1221.78032OpenAlexW2091330855MaRDI QIDQ717384

Anjan Biswas

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.09.025

zbMATH Keywords

integrabilitysolitonsKerr law

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (12)

Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives ⋮ Exact travelling wave solutions for some nonlinear time fractional fifth-order Caudrey-Dodd-Gibbon equation by \((G'/G)\)-expansion method ⋮ Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach ⋮ Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities ⋮ Optical solitons with Biswas-Milovic equation by extended trial equation method ⋮ Analytical study of solitons to nonlinear time fractional parabolic equations ⋮ Topological and non-topological soliton solutions of Hamiltonian amplitude equation by He's semi-inverse method and ansatz approach ⋮ EXPLICIT OPTICAL DROMIONS WITH KERR LAW HAVING FRACTIONAL TEMPORAL EVOLUTION ⋮ New exact wave solutions on the complex Ginzburg-Landau equation with extended rational sin-cos and sinh-cosh method ⋮ Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method ⋮ Topological 1-soliton solution of the Biswas-Milovic equation with power law nonlinearity

Cites Work

• Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation
• New exact complex travelling wave solutions to nonlinear Schrödinger (NLS) equation
• Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
• Introduction to non-Kerr Law Optical Solitons

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