广义(2+1)维Zakharov-Kuznetsov方程的精确解  

Exact Solutions of the Generalized (2+1) -Dimensional Zakharov-Kuznetsov Equation

作　　者：华瑞 王振立 孙亮吉 HUA Rui;WANG Zhenli;SUN Liangji(School of Mathematical and Statistics,Zaozhuang University,Zaozhuang 277160,China)

机构地区：[1]枣庄学院数学与统计学院,山东枣庄277160

出　　处：《枣庄学院学报》2023年第5期47-52,共6页Journal of Zaozhuang University

基　　金：山东省自然科学基金面上项目资助(ZR2022MA081);枣庄学院博士科研基金项目(1020708)。

摘　　要：利用广义代数法,研究广义(2+1)维Zakharov-Kuznetsov方程,得到很多该方程的新精确解,包括有理函数解、雅可比椭圆函数解、混合椭圆函数解、扭结解、奇异解、三角函数解等。这些解对解释许多物理现象及工程应用具有重要的指导意义。In this paper,we study the generalized(2+1)-dimensional Zakharov-Kuznetsov equation by using the generalized algebraic method.A great many new exact solutions of the generalized(2+1)-dimensional Zakharov-Kuznetsov equation have been got,which includes rational function solution,Jacobi elliptic function solution,mixed elliptic function solution,kinking solution,singular solution,trigonometric function solution and so on.These solutions play an important guiding role in explaining many physical phenomena and engineering applications.

关 键 词：广义(2+1)维Zakharov-Kuznetsov方程 广义代数法 精确解 齐次平衡法 

分 类 号：O175.2[理学—数学]