Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-19T15:40:41.251Z Has data issue: false hasContentIssue false
  • English
  • Français

Higher-order stability analysis of ion-acoustic solitons in a multispecies plasma consisting of non-isothermal electrons

Published online by Cambridge University Press:  19 January 2004

D. CHAKRABORTY  and
K. P. DAS
D. CHAKRABORTY
Affiliation:
Department of Mathematics, Charu Chandra College, 22, Lake Road, Calcutta 700 029, India
K. P. DAS
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The modified Kadomtsev–Petviashvili (KP) (1970) equation, describing the long-time evolution of weakly nonlinear and weakly dispersive ion-acoustic waves in a multispecies plasma consisting of non-isothermal electrons, admits soliton solutions having a sech4 profile. The higher-order stability analysis of this soliton is made using the method developed by Allen and Rowlands [J. Plasma Phys.50, 413 (1993); 53, 63 (1995)]. Though there is stability at the order $k$, there may arise instability at the order $k^{2}$, where $k$ is the wave number of a long-wavelength plane-wave perturbation. This instability occurs when the dimensionless width of the soliton exceeds a critical value.

Type
Papers
Information
Journal of Plasma Physics , Volume 70 , Issue 1 , February 2004 , pp. 89 - 98
Copyright
2004 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)