Analytical solutions of KdV equation with relaxation effect of inhomogeneous medium

DOI10.1016/J.AMC.2010.03.077zbMath1192.35158OpenAlexW1987862635MaRDI QIDQ983967

Chunhuan Xiang

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.077

zbMATH Keywords

analytical solutionKdV equationinhomogeneous mediumJacobi elliptic function expansionrelaxation effecttruncated expansion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic expansions of solutions to PDEs (35C20) Solutions to PDEs in closed form (35C05)

Related Items (2)

Novel nonlinear wave equation: regulated rogue waves and accelerated soliton solutions ⋮ Travelling wave solutions of reduced super-KdV equation: A perspective from Lamé equation

Cites Work

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• A complex travelling wave solution to the KdV-Burgers equation
• A \((2+1)\)-dimensional sinh-Gordon equation and its Pfaffian generalization
• Analytical and numerical solution of a coupled KdV-MKdV system
• New exact solutions to KdV equations with variable coefficients or forcing
• Symmetries, conservation laws and Hamiltonian structures of the non-isospectral and variable coefficient KdV and MKdV equations

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