Exact solution for \((2+1)\)-dimension nonlinear dispersive long wave equation

DOI10.1016/j.amc.2005.11.026zbMath1256.35126OpenAlexW2060850179MaRDI QIDQ2497827

Qian Liu, Yu-Qian Zhou, Jian Zhang, Wei Nian Zhang

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.026

zbMATH Keywords

solitary wave solutionhomogeneous balance methodMatlabgeneralized tanh method(2+1)-dimension nonlinear dispersive long wave equationmulti-solitary wave solutionrational series solutionstrigonometric function periodic solutions

Mathematics Subject Classification ID

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

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Uses Software

• Matlab

Cites Work

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• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Extended tanh-function method and its applications to nonlinear equations
• Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations