Sign on
ADS Classic is now deprecated. It will be completely retired in October 2019. This page will automatically redirect to the new ADS interface at that point.

SAO/NASA ADS Physics Abstract Service


· Find Similar Abstracts (with default settings below)
· Electronic Refereed Journal Article (HTML)
· Citations to the Article (16) (Citation History)
· Refereed Citations to the Article
· Reads History
·
· Translate This Page
Title:
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
Authors:
Das, Jayasree; Bandyopadhyay, Anup; Das, K. P.
Publication:
Journal of Plasma Physics, vol. 72, Issue 4, p.587-604
Publication Date:
00/2006
Origin:
CUP
DOI:
10.1017/S0022377805004290
Bibliographic Code:
2006JPlPh..72..587D

Abstract

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 neighbourhood 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(2) or sech has been investigated by the recently developed multiple-scale perturbation expansion method of Allen and Rowlands. The 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.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)


Find Similar Abstracts:

Use: Authors
Title
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints