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Application of Exp-function Method for Non-linear Evolution Equations to the Periodic and Soliton Solutions


Affiliations
1 Islamic Azad University, Neka Branch, Neka, Iran, Islamic Republic of
 

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
User

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  • Application of Exp-function Method for Non-linear Evolution Equations to the Periodic and Soliton Solutions

Abstract Views: 500  |  PDF Views: 122

Authors

H. Goodarzian
Islamic Azad University, Neka Branch, Neka, Iran, Islamic Republic of
E. Ekrami
Islamic Azad University, Neka Branch, Neka, Iran, Islamic Republic of
A. Azadi
Islamic Azad University, Neka Branch, Neka, Iran, Islamic Republic of

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

References





DOI: https://doi.org/10.17485/ijst%2F2011%2Fv4i2%2F29939