Exact Traveling Wave Solutions of the Space Fractional (2+1)-Dimensional Breaking Soliton Equations

Dian-chen LU, Zhi-hui ZHANG, Yue CHEN

Abstract


The fractional order differential equation is used to describe the phenomenons of physical, engineering and biological fields. In this paper, the exp (-Φ(ξ))-expansion method along with the Jumarie's modified Riemann-Liouville derivatives is proposed to solve the space fractional (2+1)-dimensional breaking soliton equations. The traveling wave solutions of the equations are useful to understand the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. In this work, it has been shown that the proposed method is very effectual and easily to find the exact traveling wave solutions to the fractional nonlinear evolution equations.

Keywords


Generalized exp (-Φ (ξ))-expansion method, Traveling wave solutions, Breaking soliton equations.


DOI
10.12783/dtetr/icamm2016/7338

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