On the solution of some forms of the korteweg-de vries equation

DOI10.1080/00036819808840680zbMath1020.65074OpenAlexW1992077123WikidataQ58175671 ScholiaQ58175671MaRDI QIDQ4487744

Khuri, Suheil A., Elias Y. Deeba

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840680

zbMATH Keywords

convergencenumerical examplessymbolic computationKorteweg-de Vries equationAdomian's decomposition algorithmcomputer algebra system maple

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• A technique for approximate solutions to Schrödinger-like equations
• A new approach to the heat equation - an application of the decomposition method
• New results for convergence of Adomian's method applied to integral equations
• A new approach to the wave equation - an application of the decomposition method
• The decomposition method applied to Chandrasekhar \(H\)-equation
• Spline Petrov—Galerkin Methods for the Numerical Solution of the Korteweg—de Vries Equation
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
• A review of the decomposition method and some recent results for nonlinear equations
• A new approach to nonlinear partial differential equations

This page was built for publication: On the solution of some forms of the korteweg-de vries equation