New exact solutions for a generalized variable-coefficient KdV equation

DOI10.1016/J.NA.2007.08.038zbMath1155.35441OpenAlexW2044836986MaRDI QIDQ949700

R. Sabry, W. F. El-Taibany

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.038

zbMATH Keywords

symbolic computationsolitary wave solutionsKdV equation with variable coefficientsgeneralized expansion methodJacobi and Weierstrass doubly periodic wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Series solutions to PDEs (35C10) Soliton equations (35Q51)

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Cites Work

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• An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
• Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
• A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
• Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg–de Vries equation. I
• Symmetries and a hierarchy of the general modified KdV equation
• An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
• A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
• Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations

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