Geometrical interpretation and approximate solution of non‐linear KdV equation

DOI10.1108/03684920510605768zbMath1079.35085OpenAlexW1988377756MaRDI QIDQ5695200

Mustafa Inc, Mehmet Bektas, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605768

zbMATH Keywords

analytical solutionsAdomian decomposition methodapproximate Adomian polynomials

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10)

Related Items (2)

A reliable technique for solving third‐order dispersion equations ⋮ On the solution of the nonlinear Kortewegâ de Vries equation by the homotopy perturbation method

Cites Work

• Lie groups and KdV equations
• Convergence of Adomian's method applied to differential equations
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• The decomposition method for approximate solution of the Goursat problem
• Practical formulae for the calculus of multivariable Adomian polynomials
• Adomian's polynomials for nonlinear operators
• Convergence of Adomian’s method applied to integral equations
• A new approach to solve a diffusion‐convection problem
• Asymptotic Theory of Unsteady Three-Dimensional Waves in a Channel of Arbitrary Cross Section

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