F-展开法结合指数函数法求解一族非线性三阶扩散偏微分方程  

Application of F-expansion method combined with exp-function method for solveing a family of nonlinear third-order dispersive PDEs

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：《西南民族大学学报（自然科学版）》2010年第4期535-540,共6页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：云南省自然科学基金项目(2008CD186)

摘　　要：本文利用F展开法结合指数函数法,研究了非常具有物理意义的一族非线性三阶扩散方程.借助于Maple程序的辅助计算,获得了大量的精确解,这些精确解包括孤立波解,纽子波解和周期波解.说明这两种方法的结合,在对非线性方程的求解方面,起到了显著的效果.This paper, combining the F-expansion method with F-expansion method, studies a family of third-order nonlinear dispersive PDEs which have physical significance. By the auxiliary computation of Maple＇s programe, many exact solutions including solitary wave solutions, kink-wave solutions and periodic wave solutions are obtained. This shows that the effect on obtaing solutions of nonlinear equations is remarkably good.

关 键 词：一族非线性三阶扩散方程 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]