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The Zakharov–Kuznetsov equation for nonlinear ion-acoustic waves

Published online by Cambridge University Press:  13 March 2009

K. Murawski  and
P. M. Edwin
K. Murawski
Affiliation:
Department of Mathematical Sciences, University of St Andrews, Fife, KY16 9SS, Scotland
P. M. Edwin
Affiliation:
Department of Mathematical Sciences, University of St Andrews, Fife, KY16 9SS, Scotland
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Abstract

The Zakharov-Kuznetsov equation is used to describe ion-acoustic wave propagation in a magnetic environment. An initial-value problem is solved for this equation on the basis of a numerical method that uses the fast-Fourier-transform technique for calculating space derivatives and a fourth-order Runge-Kutta method for the time scheme. Numerical simulations show that the disturbed flat (planar) solitary waves can break up into more robust cylindrical ones. Interactions between these two types of wave, and recurrence phenomena, are also studied.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 1 , February 1992 , pp. 75 - 83
Copyright
Copyright © Cambridge University Press 1992

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