New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations

Authors:
A. Borhanifar;M. M. Kabir
Affiliations:
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran;Department of Mechanical Engineering, University of Mohaghegh Ardabili, Ardabil, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this letter, the Kaup-Kupershmidt, (2+1)-dimensional Potential Kadomtsev-Petviashvili (shortly PKP) equations are presented and the Exp-function method is employed to compute an approximation to the solution of nonlinear differential equations governing the problem. It has been attempted to show the capabilities and wide-range applications of the Exp-function method. This method can be used as an alternative to obtain analytic and approximate solution of different types of differential equations applied in engineering mathematics.