On a Generalized Extended F-Expansion Method

作     者：REN Yu-Jie LIU Shu-Tian ZHANG Hong-Qing 

作者机构：Department of Applied Mathematics Dalian University of Technology Dalian 116024 China Department of Mathematics and Physics Dalian Institute of Light Industry Dalian 116034 China State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian 116024 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2006年第45卷第1期

页      面：15-28页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported partially by the State Key Basic Research Program of China under Grant No. 2004 CB 318000 The authors would like to thank the referee for his/her valuable suggestions 

主　　题：(2+1)-dimentional breaking soliton equation generalized extended F-expansion method Jacobi elliptic function solution generalized ansatz soliton-like solution 

摘      要：Making use of a new generalized ansatz, we present a new generalized extended F-expansion method for constructing the exact 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 soliton equation. As a result, we successfully obtain some new and more general solutions including Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions, and so on. As an illustrative sampler the properties of some soliton solutions for the breaking soliton equation are shown by some figures. Our method can also be applied to other partial differential equations.