Zakharov-Kuznetsov方程的精确分式解  

Exact Fractional Solutions to the Zakharov-Kuznetsov Equation

作　　者：刘常福[1] 李世云[1] 林清梅[1] 

机构地区：[1]文山师范高等专科学校数理系,云南文山663000

出　　处：《文山师范高等专科学校学报》2008年第4期89-91,共3页Journal of Wenshan Teachers College

基　　金：云南省教育厅基金(06Y041A);文山师范高等专科学校科研基金(06Y02A)资助项目

摘　　要：文章综合应用试探函数法,借助Maple软件,获得了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、Jacobi椭圆函数双周期解,并对部分解给出了数字图像.Using trial function method and with the aid of the Maple, exact fractional solutions to the Zakharov-Kuznetsov equation were obtained in the research, which included rational function solutions, triangular periodic, solitary wave and Jacobi elliptic function doubly periodic solutions. Digital Images of several solutions were also shown in the paper.

关 键 词：Zakharov—Kuznetsov方程 试探函数法 精确分式解 

分 类 号：O174[理学—数学]