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Nonlinear MHD waves in a dissipative plasma with Hall dispersion and the modified Burgers—Schrödinger equation

Published online by Cambridge University Press:  13 March 2009

Sergei V. Korsunsky
Sergei V. Korsunsky
Affiliation:
Institute of Theoretical Physics, Ukrainian Academy of Sciences, 252130, Kiev-130, Ukraine
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Abstract

We consider the nonlinear propagation of magnetosonic waves along an unperturbed magnetic field in a plasma of high but finite conductivity when the Hall effect is taken into account, and we give a discussion of the analytical solutions of the nonlinear evolution equation that governs the latter problem. This equation is a generalization of the well-known modified Schrödinger equation and of the modified Burgers equation (it is referred to here as the modified Burgers-Schrödinger equation). Explicit analytical expressions for both a stationary kink-type solution and circularly polarized quasi-periodic waves are obtained and investigated.

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 2 , October 1992 , pp. 237 - 243
Copyright
Copyright © Cambridge University Press 1992

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