Approximate soliton solutions for a \((2+1)\)-dimensional Broer-Kaup system by He's methods

DOI10.1016/J.CAMWA.2009.03.061zbMath1189.65253OpenAlexW2085525914MaRDI QIDQ979769

Zheng-Yi Ma

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.061

zbMATH Keywords

variational iteration methodhomotopy perturbation methodBroer-Kaup systemapproximate soliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Soliton solutions (35C08)

Cites Work

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• On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
• Painlevé analysis and special solutions of generalized Broer-Kaup equations
• Homotopy perturbation method for bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• Construction of solitary solution and compacton-like solution by variational iteration method
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Approximate equations for long water waves

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