(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

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.