Numerical solution of a coupled Korteweg-de Vries equations by collocation method

DOI10.1002/num.20343zbMath1159.65347OpenAlexW2109392442MaRDI QIDQ3612508

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Publication date: 10 March 2009

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20343

zbMATH Keywords

algorithmstabilitycollocation methodnumerical exampleserror boundssoliton interactionquintic B-splinescoupled Korteweg-de Vries equationbirth of solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations ⋮ Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method ⋮ An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods ⋮ A fourth order finite difference method for the good Boussinesq equation ⋮ Petrov-Galerkin method for the coupled Schrödinger-KdV equation ⋮ A numerical solution for Hirota-Satsuma coupled KdV equation ⋮ A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: finite difference method and differential quadrature method

Cites Work

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• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Strong coupling of Schrödinger equations: conservative scheme approach
• Algorithms for numerical solution of the modified equal width wave equation using collocation method
• The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
• Highly accurate finite difference method for coupled nonlinear Schrödinger equation
• Approximate solutions for the generalized KdV–Burgers' equation by He's variational iteration method
• Numerical simulation of coupled nonlinear Schrödinger equation

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