改进的Zakharov-Kuznetsov方程的精确分式解  

Exactly Fractional Solutions for the Modified Zakharov-Kuznetsov Equation

作　　者：刘常福[1] 戴正德[2] 林清梅[1] 

机构地区：[1]云南文山师范高等专科学校数理系,云南文山663000 [2]云南大学数学与统计学院,昆明650091

出　　处：《西南大学学报（自然科学版）》2008年第9期1-5,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10361007,10661002);云南省自然科学基金资助项目(2004A0001M);云南省教育厅基金资助项目(06Y041A)

摘　　要：综合应用试探函数法和拓展的分式变换法,借助Maple软件,得到改进的Zakharov-Kuznetsov方程的精确分式解,包括有理函数解、三角函数周期解、孤立波解和Jacobi椭圆函数双周期解,并对部分解给出了数字模拟图像.In this paper, by using trial function method, extend fractional transformations and with the aid of the Maple, exactly fractional solutions for the modified Zakharov-Kuznetsov equation are obtained, which include rational function solutions, triangular periodic solutions, solitary wave solutions and Jacobi elliptic function doubly periodic solutions. And numerical results of several solutions are shown.

关 键 词：改进的Zakharov-Kuznetsov方程 试探函数法 精确分式解 

分 类 号：O175.29[理学—数学]