| 修正KP方程及其孤波解的稳定性 |
| |
| 引用本文： | 张娟,周志刚,石玉仁,杨红娟,段文山.修正KP方程及其孤波解的稳定性[J].物理学报,2012,61(13):130401-130401. |
| |
| 作者姓名： | 张娟 周志刚 石玉仁 杨红娟 段文山 |
| |
| 作者单位： | 西北师范大学物理与电子工程学院,兰州,730070 |
| |
| 基金项目： | 国家自然科学基金(批准号: 11047010)、 教育部科学技术研究重点项目基金(批准号: 209128)和 西北师范大学自然科学基金(批准号: NWNU-KJCXGC-03-53) 资助的课题. |
| |
| 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.
|
| 关 键 词： | 离子声孤波 约化摄动法 mKP方程 稳定性 |
| 收稿时间： | 2011-08-09 |
The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation |
| |
| Zhang Juan,Zhou Zhi-Gang,Shi Yu-Ren,Yang Hong-Juan,Duan Wen-Shan.The stability of solitay wave solution to a modified Kadomtsev-Petviashvili equation[J].Acta Physica Sinica,2012,61(13):130401-130401. |
| |
| Authors: | Zhang Juan Zhou Zhi-Gang Shi Yu-Ren Yang Hong-Juan Duan Wen-Shan |
| |
| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China |
| |
| 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. |
| |
| Keywords: | ion-acoustic solitary waves reductive perturbation method modified Kadomtsev-Petviashvili equation stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
