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Effect of higher-order nonlinearity on propagation of nonlinear ion-acoustic waves in a collisionless plasma consisting of negative ions

Published online by Cambridge University Press:  13 March 2009

S. G. Tagare  and
R. Virupakshi Reddy
S. G. Tagare
Affiliation:
School of Mathematics and CIS, University of Hyderabad, Hyderabad-500 134, India
R. Virupakshi Reddy
Affiliation:
School of Mathematics and CIS, University of Hyderabad, Hyderabad-500 134, India
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Abstract

The combined effects of negative ions and higher-order nonlinearity on ionacoustic solitons are studied using the reductive perturbation method. The basic set of fluid equations for a plasma consisting of negative cold ions, positive cold ions and hot electrons (non-isothermal and isothermal) reduces to the modified Korteweg-de Vries equation and the Korteweg-de Vries equation for the first-order potential, and to the linear inhomogeneous equation for the second-order potential. Stationary solutions of the coupled equations are obtained in the case of negative ions, retaining terms up to the third order in the usual reductive perturbation method.

Type
Research Article
Information
Journal of Plasma Physics , Volume 35 , Issue 2 , April 1986 , pp. 219 - 237
Copyright
Copyright © Cambridge University Press 1986

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References

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