Two analytical methods for time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation

A supersymmetric Sawada-Kotera equation

A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved quantities and a recursion operator. PACS: 02.30.Ik; 05.45.Yv

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...

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

In this paper, the Sawada-Kotera equation is solved by using the Adomian’s decomposition method, modified Adomian’s decomposition method, variational iteration method, modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its comp...

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

In this paper, the variational iteration method (VIM) is applied for solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation. We obtain the approximate solutions without unrealistic nonlinear assumptions , linearization, discretization or the calculation of Adomian's poly-nomials. Numerical results are presented to verify the efficiency of the VIM.

Numerical Solution of Sawada-Kotera equation by using Iterative Methods