Topological and non-topological exact soliton solution of the power law KdV equation

DOI10.1016/j.cnsns.2009.12.008zbMath1222.35168OpenAlexW2076442693MaRDI QIDQ720231

Anjan Biswas, Marko D. Petković, Daniela M. Milovic

Publication date: 13 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.2009.12.008

zbMATH Keywords

solitary wavesintegrability

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items

One method for finding exact solutions of nonlinear differential equations, Classical solution for the linear sigma model

Cites Work

• Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients
• Adiabatic parameter dynamics of perturbed solitary waves
• Exact solutions of a KdV equation with variable coefficients via Exp-function method
• Variants of the generalized KdV equation with compact and noncompact structures
• New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
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