Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation

DOI10.1016/j.cnsns.2008.12.014zbMath1221.35319OpenAlexW2083982540MaRDI QIDQ717963

Anjan Biswas, Benjamin J. M. Sturdevant, Dawn A. Lott

Publication date: 23 September 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.2008.12.014

zbMATH Keywords

attenuationdark solitonsRiemann integrability

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 (5)

Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion ⋮ Analytical study of solitons to nonlinear time fractional parabolic equations ⋮ Classification of optical wave solutions to the nonlinearly dispersive Schrödinger equation ⋮ TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION ⋮ Topological 1-soliton solution of the Biswas-Milovic equation with power law nonlinearity

Cites Work

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• Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications
• Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation
• Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications
• Exact solutions to a nonlinearly dispersive Schrödinger equation

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