In this paper, variational iteration method (VIM) is used to obtain numerical and analytical solutions for the Zakharov-Kuznetsov equations with fully nonlinear dispersion. Comparisons with exact solution show that the VIM is a powerful method for the solution of nonlinear equations.
Approximate solutions of fractional Zakharov–Kuznetsov equations by VIM
✍ Scribed by R. Yulita Molliq; M.S.M. Noorani; I. Hashim; R.R. Ahmad
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 728 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
This paper presents the approximate analytical solution of a fractional Zakharov-Kuznetsov equation with the help of the powerful variational iteration method. The fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. The results show that the variational iteration method is very effective, convenient and simple to use.
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