Application of exp-function method for non-linear evolution equations to the periodic and soliton solutions

H  Goodarzian; E  Ekrami and A  Azadi

doi:10.17485/ijst/2011/v4i2.10

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Application of exp-function method for non-linear evolution equations to the periodic and soliton solutions

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2011/v4i2.10

Year: 2011, Volume: 4, Issue: 2, Pages: 85-90

Original Article

Application of exp-function method for non-linear evolution equations to the periodic and soliton solutions

H. Goodarzian^*, E. Ekrami and A. Azadi

Islamic Azad University, Neka Branch, Neka, Iran. [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper 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 non-linear differential equations governing on 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.
Keywords: Exp–function method, kaup–kupershmidt equation, non-linear equations, Kadomtsev–Petviashvili.