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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 (kpdas@cucc.ernet.in)
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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

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