Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM

Authors:
D. D. Ganji;M. Jannatabadi;E. Mohseni
Affiliations:
Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran;Mazandaran University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

Instead of finding a small parameter for solving nonlinear problems through perturbation method, a new analytical method called He's variational iteration method (VIM) is introduced to be applied to solve nonlinear Jaulent-Miodek, coupled KdV and coupled MKdV equations in this article. In this method, general Lagrange multipliers are introduced to construct correction functionals for the problems. The multipliers can be identified optimally via the variational theory. The results are compared with exact solutions.