Application of the Variational Iteration Method for Solving the Fifth Order Caudrey-Dodd-Gibbon Equation

Reconstruction of Variational Iterative Method for Solving Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation

Engineering problems and the solutions of many important physical problems are centered on finding accurate solutions to Nonlinear functions. Various approximation methods have been used for complex equations. One of the newest approximation methods is Reconstruction of variational iteration method (RVIM). In this Paper we use RVIM to solution N-soliton solutions for the fifth order Caudrey-Dod...

Application of He’s Variational Iteration Method and Adomian Decomposition Method to Solution for the Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation

The theory of solitary waves has attracted much interest in recent years for treatment of PDEs describing nonlinear and evolution concepts. Nonlinear phenomena appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics. The nonlinear problems are characterized by dispersive effects, dissipative effects, conve...

Some Exact Solutions of Two Fifth Order KdV-Type Nonlinear Partial Differential Equations

We consider the generalized integrable fifth order nonlinear Korteweg-de Vries (fKdV) equation. The extended Tanh method has been used rigorously, by computational program MAPLE, for solving this fifth order nonlinear partial differential equation. The general solutions of the fKdV equation are formed considering an ansatz of the solution in terms of tanh. Then, in particular, some exact soluti...

The variational iteration method for solving Nagumo telegraph equation

Application of variational iteration method for solving singular two point boundary value problems

In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem w...