The decomposition method for solving the coupled modified KdV equations

DOI10.1016/j.mcm.2007.05.012zbMath1144.65318OpenAlexW2069755944MaRDI QIDQ947877

B. E. Eshmatov

Publication date: 8 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.05.012

zbMATH Keywords

adomian polynomialsadomian decompositioncoupled modified KdV equations

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)

Related Items

ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations, An efficient algorithm for the multivariable Adomian polynomials, Near-field and far-field approximations by the Adomian and asymptotic decomposition methods, Convenient analytic recurrence algorithms for the Adomian polynomials, Numerical simulation of the FitzHugh-Nagumo equations, Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method, Modified Camassa-Holm and Degasperis-Procesi equations solved by Adomian's decomposition method and comparison with HPM and exact solutions

Uses Software

• Maple

Cites Work

• Unnamed Item
• Convergent series solution of nonlinear equations
• New application of Adomian decomposition method on Fokker-Planck equation
• Adomian decomposition method for solving fractional nonlinear differential equations
• Stochastic water reservoir modeling
• A new approach to the heat equation - an application of the decomposition method
• Analytical approximations and Padé approximants for Volterra's population model
• Solution of physical problems by decomposition
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• A simple transformation for nonlinear waves.
• A note on the homogeneous balance method
• Adomian decomposition method for solving the diffusion-convection-reaction equations
• Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Solitary wave solutions of nonlinear wave equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• Stochastic Burgers' equation
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
• New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water