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On a Generalized Extended F-Expansion Method
Authors:REN Yu-Jie  LIU Shu-Tian  ZHANG Hong-Qing
Affiliation:1. Department of Applied Mathematics, Dalian University ofTechnology, Dalian 116024, China;2. Department of Mathematics and Physics, DalianInstitute of Light Industry, Dalian 116034, China;3. State Key Laboratory of Structural Analysisfor Industrial Equipment, Dalian University of Technology, Dalian 116024, China
Abstract:
Making use of a new generalized ansatz, we present a new generalized extended F-expansion method for constructing theexact solutions of nonlinear partial differential equations in a unified way. Applying the generalized method with the aid of Maple, we consider the (2+1)-dimentional breaking solitonequation. As a result, we successfully obtain some new and more generalsolutions including Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions, and so on. As an illustrative sample, the properties of some soliton solutions for the breaking soliton equation are shown by somefigures. Our method can also be applied to other partial differential equations.
Keywords:(2+1)-dimentional breaking soliton equation   generalized extended F-expansionmethod   Jacobi elliptic function solution  generalized ansatz   soliton-like solution   
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