AN EFFICIENT METHOD FOR FINDING THE EXACT SOLUTION OF NONLINEAR EVOLUTION EQUATIONS

DOI10.1142/S0217984905010268zbMath1094.35110MaRDI QIDQ5291555

Xiqiang Zhao, Chang Shu, Deng-bin Tang

Publication date: 10 May 2006

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

exact solutionhomogeneous balance methodspecial truncated expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Uses Software

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Cites Work

• Solitary wave solutions for variant Boussinesq equations
• Exact soliton solutions of some nonlinear physical models
• Exact solutions for a compound KdV-Burgers equation
• A note on the homogeneous balance method
• Extended tanh-function method and its applications to nonlinear equations
• Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation
• A new method for finding exact traveling wave solutions to nonlinear partial differential equations

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