New Generalized Transformation Method and Its Application in Higher-Dimensional Soliton Equation

作     者：BAI Cheng-Lin GUO Zong-Lin ZHAO Hong 

作者机构：Physical Science and Information Engineering School Lia~cheng University Liaocheng 252059 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3期

页      面：447-451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 by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province of China 

主　　题：new generalized transformation method, exact solution, (3+1)-dimensional breaking soliton equation, KdV equation mKdV equation cubic nonlinear Klein-Gordon equation 

摘      要：A new generalized transformation method is differential equation. As an application of the method, we presented to find more exact solutions of nonlinear partial choose the （3＋1）-dimensional breaking soliton equation to illustrate the method. As a result many types of explicit and exact traveling wave solutions, which contain solitary wave solutions, trigonometric function solutions, Jacobian elliptic function solutions, and rational solutions, are obtained. The new method can be extended to other nonlinear partial differential equations in mathematical physics.