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改进的Zakharov-Kuznetsov方程的精确分式解 被引量：6

Exactly Fractional Solutions for the Modified Zakharov-Kuznetsov Equation
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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.
作者 刘常福 戴正德 林清梅
机构地区 云南文山师范高等专科学校数理系 云南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 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)
关键词 改进的Zakharov-Kuznetsov方程 试探函数法 精确分式解 modified Zakharov-Kuznetsov equation trial function method exactly fractional solution
分类号 O175.29 [理学—基础数学]
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参考文献11

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共引文献13

同被引文献57

引证文献6

二级引证文献22

西南大学学报（自然科学版）
2008年 第9期

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