This article is cited in 11 papers

Solution of Davey–Stewartson equations by homotopy perturbation method

H. A. Zedan^a, S. Sh. Tantawy<sup>b

a</sup> Math. Dept., Faculty of Science, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt
^b Math. Dept., Faculty of Education, Ain Shams University, Cairo, Egypt

Abstract: In this paper, we extend the homotopy perturbation method to solve the Davey–Stewartson equations. The homotopy perturbation method is employed to compute an approximation to the solution of the equations. Computation the absolute errors between the exact solutions of the Davey–Stewartson equations and the HPM solutions are presented. Some plots are given to show the simplicity the method.

Key words: differential equations of Davey–Stewartson, method of approximated solution, homotopy perturbation method, computation of absolute errors of the method.

UDC: 519.634

Received: 03.06.2008

Language: English

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:8, 1382–1388

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