A new extended tanh-function method and its application to the dispersive long wave equations in \((2+1)\) dimensions

DOI10.1016/S0096-3003(02)00812-3zbMath1033.65087OpenAlexW2053207278MaRDI QIDQ1412643

De-Sheng Li, Hong-Qing Zhang

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00812-3

zbMATH Keywords

exact solutionsextended tanh-function methoddispersive long wave equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations, Exact Analytical Solutions: Physical and/or Mathematical Validity, Solitons Solutions of the Complex Ginzburg-Landau Equation with Saturation Term Using Painleve Truncated Approach

Uses Software

• RATH
• MACSYMA

Cites Work

• Generalized tanh method with symbolic computation and generalized shallow water wave equation
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• New family of overturning soliton solutions for a typical breaking soliton equation
• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Travelling wave solutions to the two-dimensional KdV-Burgers equation
• New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA