修正KP方程及其孤波解的稳定性

物理学报

修正KP方程及其孤波解的稳定性

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张娟, 周志刚, 石玉仁, 杨红娟, 段文山. 2012: 修正KP方程及其孤波解的稳定性, 物理学报, 61(13): 26-30.

引用本文:

张娟, 周志刚, 石玉仁, 杨红娟, 段文山. 2012: 修正KP方程及其孤波解的稳定性, 物理学报, 61(13): 26-30.

2012: The stability of solitay wave solution to a modified Kadomtsev-PetviashvUi equation, Acta Physica Sinica, 61(13): 26-30.

Citation:

2012: The stability of solitay wave solution to a modified Kadomtsev-PetviashvUi equation, Acta Physica Sinica, 61(13): 26-30.

The stability of solitay wave solution to a modified Kadomtsev-PetviashvUi equation

摘要: 采用约化摄动法,得到描述无磁场等离子体中离子声波传播的modified Kadomtsev-Petviashvili（mKP）方程,构造有限差分格式对mKP方程的一类特殊孤立波解的稳定性进行数值研究.数值结果表明：在两种特殊情形的初始扰动下,该孤立波均不稳定.
- 离子声孤波 /
- 约化摄动法 /
- mKP方程 /
- 稳定性
Abstract: The reductive perturbation method is employed to describe the behaviour of ion-acoustic waves for plasmas in the absence of magnetic field, leading to a type of modified Kadomtsev-Petviashvili equation. The stability of a special type of solitary wave solutions for the modified Kadomtsev-Petviashvili equation is investigated with a finite difference scheme. The numerical results show that this solitary wave is unstable under two particular initial perturbations.