F展开法结合指数函数法求解Zhiber-Shabat方程的精确解  

Combined F-expansion method with Exp-function method for obtaining exact solutions of Zhiber-Shabat equation

作　　者：张金华[1] 丁玉敏[1] 

机构地区：[1]红河学院数学系,云南蒙自661100

出　　处：《纯粹数学与应用数学》2011年第2期163-169,共7页Pure and Applied Mathematics

基　　金：云南省自然科学基金(2008CD186)

摘　　要：利用F展开法与指数函数法相结合的方法,在相关文献的基础上,重新研究了Zhiber-Shabat方程,获得了许多与现有文献中解的表达式不相同的各种精确解.这些解同样具有孤立波解,纽子波解和周期波解的各种动力学特征.从而丰富了相关文献中关于Zhiber-Shabat波方程的孤立子解和周期解的种类.In this paper, based on the correlative references, combining F-expansion method with Exp-functionmethod, we study the Zhiber-Shabat equation again. All kinds of exact solutions which the expressions aredifferent from those in the existing references are obtained. These solutions also have different kinds of dynamicproperties including solitary wave solutions, kink wave solutions and periodic wave solutions. Thus, the typesof soliton solutions and periodic wave solutions of Zhiber-Shabat equation in corresponding to literatures havebeen enriched.

关 键 词：ZHIBER-SHABAT方程 指数函数法 F展开法 周期波解 孤立波解 纽子波解 

分 类 号：O175.2[理学—数学]