The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled MKdV equation

DOI10.1080/0020716042000261405zbMath1064.65118OpenAlexW2112204449MaRDI QIDQ4652855

Kamal R. Raslan

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716042000261405

zbMATH Keywords

algorithmnumerical examplesAdomian decomposition methodHirota-Satsuma coupled Korteweg-de Vries equationsolitons solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

The modified extended tanh-function method for solving coupled MKdV and coupled Hirota-Satsuma coupled KdV equations ⋮ Applications of sine-cosine wavelets method for solving the generalized Hirota-Satsuma coupled KdV equation ⋮ Application of the \((\frac{G'}{G})\)-expansion method to solve coupled MKdV equations and coupled Hirota-Satsuma coupled KdV equations ⋮ An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves ⋮ Iterative solutions of Hirota Satsuma coupled KdV and modified coupled KdV systems ⋮ On the exact and numerical solution of the time-delayed Burgers equation ⋮ On the solutions of the time-delayed Burgers equation ⋮ Extended improved tanh-function method for solving the nonlinear physical problems

Cites Work

• Solving frontier problems of physics: the decomposition method
• The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

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