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Nonlinear ion-acoustic waves in a magnetized plasma and the Zakharov-Kuznetsov equation

Published online by Cambridge University Press:  13 March 2009

Bhimsen K. Shivamoggi
Bhimsen K. Shivamoggi
Affiliation:
University of Central Florida, Orlando, Florida 32816-6990, U.S.A.
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Abstract

We consider here the nonlinear development of ion-acoustic waves in a magnetized plasma, and give a further discussion of the analytical properties of the Zakharov-Kuznestov equation that governs the latter problem. First we discuss the solitary-wave solutions and show that they give a good description of recent experimental results about the manner in which the magnetic field influences the solitary waves. We then exhibit recurrence and Lagrange stability of solutions of the Zakharov-Kuznestov equation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 1 , February 1989 , pp. 83 - 88
Copyright
Copyright © Cambridge University Press 1989

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References

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