Modified Variational Iteration Method for Traveling Wave Solutions of Seventh-order Generalized KdV Equations

DOI10.1080/15502287.2011.564266zbMath1235.35250OpenAlexW2012065842MaRDI QIDQ3118297

Farah Jabeen, Syed Tauseef Mohyud-Din, Muhammad Aslam Noor

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2011.564266

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (1)

Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation

Cites Work

• Beyond Adomian polynomials: He polynomials
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• On the variational iteration method and other iterative techniques for nonlinear differential equations
• Variational iteration method: New development and applications
• An efficient method for fourth-order boundary value problems
• Homotopy perturbation method for solving sixth-order boundary value problems
• Variational iteration method for unsteady flow of gas through a porous medium using He's polynomials and Padé approximants
• Variational iteration method -- some recent results and new interpretations
• A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
• Exp-function method for generalized traveling solutions of master partial differential equation
• Modified variational iteration method for solving Helmholtz equations
• An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• An application for a generalized KdV equation by the decomposition method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• He's homotopy perturbation method for calculating Adomian polynomials
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation method for solving boundary value problems
• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Variational iteration technique for solving higher order boundary value problems
• An efficient algorithm for solving fifth-order boundary value problems
• New applications of variational iteration method
• Numerical solution of non-linear Klein–Gordon equations by variational iteration method
• On the solution of a korteweg-de vries like equation by the decomposition method
• The variational iteration method for eighth-order initial-boundary value problems
• Variational iteration method for autonomous ordinary differential systems

This page was built for publication: Modified Variational Iteration Method for Traveling Wave Solutions of Seventh-order Generalized KdV Equations