A new method for finding traveling wave solutions of the generalized KdV equation with variable coefficient

DOI10.1016/J.AMC.2007.09.065zbMath1187.35206OpenAlexW2013131794MaRDI QIDQ924411

Danchen Zhu, Weijun Sun, Shuangshuang Ding

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.065

zbMATH Keywords

exact traveling wave solutionelliptic functiongeneralized KdV equationansatz equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Cites Work

• New soliton-like solutions for KdV equation with variable coefficient
• Standard forms of elliptic integrals and their applications to nonlinear evolution equations
• Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
• Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities

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