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Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM. (English) Zbl 1173.65066

Summary: This paper presents the approximate analytical solution of a fractional Zakharov-Kuznetsov equation with the help of the powerful variational iteration method (VIM). 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.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals
35Q53 KdV equations (Korteweg-de Vries equations)
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