(3 + 1)维修正KdV-ZK方程和(3 + 1)维KP方程的精确行波解  

Exact Traveling Wave Solutions of the (3 + 1)-Dimensional Modified KdV-ZK Equation and the (3 + 1)-Dimensional KP Equation

作　　者：曾职云 张练 叶飞筠 

机构地区：[1]贵州民族大学,数据科学与信息工程学院,贵州 贵阳

出　　处：《应用数学进展》2022年第3期898-905,共8页Advances in Applied Mathematics

摘　　要：本文讨论了(3 + 1)维修正KdV-Zakharov-Kuznetsov方程和(3 + 1)维Kadomtsev-Petviashvili方程的精确行波解,得到了(3 + 1)维修正KdV-Zakharov-Kuznetsov方程的扭状孤波解和(3 + 1)维Kadomtsev- Petviashvili方程的双曲函数奇异解,并且利用Maple软件给出了解的3D和2D图,分析了解在特殊参数值下的动力行为。In this paper, we discuss the exact traveling wave solutions of the (3 + 1)-dimensional modified KdV-Zakharov-Kuznetsov equation and the (3 + 1)-dimensional Kadomtsev-Petviashvili equation, the twisted solitary wave solutions of the (3 + 1)-dimensional modified KdV-Zakharov-Kuznetsov equation and the hyperbolic function singular solutions of the (3 + 1)-dimensional Kadomtsev- Petviashvili equation were obtained;the 3D and 2D plots of the solutions were given with Maple, analyzing the dynamic behavior of the solutions under the particular parameters value.

关 键 词：行波解 (3 + 1)维修正KdV-Zakharov-Kuznetsov方程 (3 + 1)维Kadomtsev-Petviashvili方程 

分 类 号：O175[理学—数学]