(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
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。
Abstract: 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.
文章引用：曾职云, 张练, 叶飞筠. (3 + 1)维修正KdV-ZK方程和(3 + 1)维KP方程的精确行波解[J]. 应用数学进展, 2022, 11(3): 898-905. https://doi.org/10.12677/AAM.2022.113096

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