利用推广的F-展开法求解(2+1)维ZK方程  

Using expanded F-expansion method for solving (2+1)-dimensional ZK equation

作　　者：朱永平[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2013年第2期211-213,共3页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10671155)

摘　　要：利用推广的F-展开法,研究了(2+1)维ZK方程,获得了该方程的一些行波解和双周期波解.当模数m→0和m→1时,得到相应的单周期波解和孤立波解,从而丰富了该方程解的范围.Based on the expanded F-expansion method,the （2＋ 1）-dimensional ZK equation is studied. As a result,some new travelling wave solutions and doubly periodic wave solutions are obtained. When the modulus m--0 and m--l, the corresponding single periodic wave solutions and solitary wave solutions are got. Thus, the solutions of （2 ＋ 1）-dimensional ZK equation have been enriched.

关 键 词：F-展开法 ZK方程 周期波解 孤立波解 

分 类 号：O175.2[理学—数学]