Solitary wave solutions for the general KdV equation by Adomian decomposition method

DOI10.1016/S0096-3003(03)00686-6zbMath1051.65100MaRDI QIDQ1827347

Yanyan Li

Publication date: 6 August 2004

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

zbMATH Keywords

numerical examplesAdomian decomposition methodKorteweg-de-Vries equations

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 (11)

Numerical study using ADM for the modified regularized long wave equation ⋮ Cilia walls influence on peristaltically induced motion of magneto-fluid through a porous medium at moderate Reynolds number: numerical study ⋮ Solitary wave solutions of the improved KdV equation by VIM ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation ⋮ A compact-type CIP method for general Korteweg-de Vries equation ⋮ The Adomian decomposition method for solving delay differential equation ⋮ On using the modified variational iteration method for solving the nonlinear coupled equations in the mathematical physics ⋮ ADM-Padé technique for the nonlinear lattice equations ⋮ Application of the Adomian decomposition method for the Fokker-Planck equation ⋮ Comparison study between restrictive Taylor, restrictive Padé approximations and Adomian decomposition method for the solitary wave solution of the general KdV equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A review of the decomposition method in applied mathematics
• Solitary waves of the equal width wave equation
• Analytical approximations and Padé approximants for Volterra's population model
• Solving frontier problems of physics: the decomposition method
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
• Solitary waves of the regularised long-wave equation

This page was built for publication: Solitary wave solutions for the general KdV equation by Adomian decomposition method