Exact analytic solitary wave solutions for the RKL model

DOI10.1016/J.MATCOM.2009.08.031zbMath1186.35210OpenAlexW1982381327MaRDI QIDQ2655835

Houria Triki, Thiab R. Taha

Publication date: 26 January 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.08.031

zbMATH Keywords

exact analytic solutionsJacobi elliptic function methodnon-Kerr medium

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05) Physical optics (78A10) Soliton solutions (35C08)

Related Items (7)

The solitary wave, kink and anti-kink solutions coexist at the same speed in a perturbed nonlinear Schrödinger equation ⋮ Three different methods for new soliton solutions of the generalized NLS equation ⋮ Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity ⋮ Extended auxiliary equation method and its applications to three generalized NLS equations ⋮ Comment on: ``Exact analytic solitary wave solutions for the RKL model ⋮ Abundant exact solutions for the higher order non-linear Schrödinger equation with cubic-quintic non-Kerr terms ⋮ New abundant exact solutions for Kundu equation

Cites Work

• Sub-ODE method and solitary wave solutions for higher order nonlinear Schrödinger equation
• Adomian decomposition method for solving fractional nonlinear differential equations
• The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation
• Two simple ansätze for obtaining exact solutions of high dispersive nonlinear Schrödinger equations
• On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
• A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
• Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method

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