Higher-order stability analysis of ion-acoustic solitons in a multispecies plasma consisting of non-isothermal electrons
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.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- February 2004
- DOI:
- 10.1017/S002237780300240X
- Bibcode:
- 2004JPlPh..70...89C