• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Plasma Physics >Stability of an alternative solitary-wave solution of an ion-acoustic wave obtained from the MKdV-KdV-ZK equation in magnetized non-thermal plasma consisting of warm adiabatic ions
【24h】

Stability of an alternative solitary-wave solution of an ion-acoustic wave obtained from the MKdV-KdV-ZK equation in magnetized non-thermal plasma consisting of warm adiabatic ions

机译：从MKdV-KdV-ZK方程获得的离子声波的替代孤立波解在由热绝热离子组成的磁化非热等离子体中的稳定性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The Korteweg-de Varies-Zakharov-.Kuznetsov (KdV-ZK) equation describes the behaviour of long-wavelength weakly nonlinear ion-acoustic waves propagating obliquely to an external magnetic field in a non-thermal plasma consisting of warm adiabatic ions. When the coefficient of the nonlinear term of this equation vanishes, the nonlinear behaviour of ion-acoustic wave is described by a modified KdV-ZK (MKdV-ZK) equation. A combined MKdV-KdV-ZK equation more efficiently describes the nonlinear behaviour of ion-acoustic waves at points in the neighbourbood of the curve in the parametric plane along which the coefficient of the nonlinear term of the KdV-ZK equation vanishes. This combined MKdV-KdV-ZK equation admits both double-layer and alternative solitary-wave solutions having profile different from sech(2) or sech. In this paper the three-dimensional stability of the alternative solitary-wave solution having profile different from sech or sech has been investigated by the recently developed multiple-scale perturbation expansion method of Allen and Rowlands. he instability condition and the growth rate of instability have been derived at the lowest order. The correct expression of the growth rate of instability at the lowest order has been obtained for a limiting case and the stability analysis has been carried out numerically from our model as presented in this paper for arbitrary values of the parameters involved in the system.
机译：Korteweg-de Varies-Zakharov-.Kuznetsov（KdV-ZK）方程描述了在由热绝热离子组成的非热等离子体中，斜向传播到外部磁场的长波长弱非线性离子声波的行为。当该方程的非线性项的系数消失时，通过改进的KdV-ZK（MKdV-ZK）方程描述离子声波的非线性行为。组合的MKdV-KdV-ZK方程更有效地描述了在参数平面中曲线的邻居点处的离子声波的非线性行为，KdV-ZK方程的非线性项系数沿其消失。此组合的MKdV-KdV-ZK方程式可以接受双层和另类孤波解，它们的轮廓不同于sech（2）或sech。在本文中，通过最近开发的Allen和Rowlands多尺度摄动展开方法，研究了轮廓不同于sech或sech的另类孤波解决方案的三维稳定性。不稳定性条件和不稳定性的增长率是从最低阶推导出的。对于极限情况，已经获得了最低阶的不稳定性增长速度的正确表达，并且根据本文中介绍的系统中涉及的任意参数值，通过我们的模型对数值进行了稳定性分析。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号