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Nonlinear regular structures of drift magneto-acoustic waves

Published online by Cambridge University Press:  13 March 2009

G. D. Aburdzhaniya ,
V. P. Lakhin  and
A. B. Mikhailovskii
G. D. Aburdzhaniya
Affiliation:
I. N. Vekua Institute of Applied Mathematics, Tbilisi State University, Tbilisi, U.S.S.R.
V. P. Lakhin
Affiliation:
I. V. Kurchatov Institute of Atomic Energy, Moscow, U.S.S.R.
A. B. Mikhailovskii
Affiliation:
I. V. Kurchatov Institute of Atomic Energy, Moscow, U.S.S.R.
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Abstract

Nonlinear regular structures in a magnetized plasma connected with drift magneto-acoustic waves (DMA) are investigated theoretically. Three-dimensional nonlinear equations of weakly dispersive DMA waves are obtained. These equations contain both the scalar nonlinearity and the vector one, and generalize the two-dimensional Kadomtsev–Petviashvili (KP) equation. The existence is shown of regular stationary structures due to the scalar nonlinearity: one-dimensional solitons, two-dimensional rational solitons, chains of solitons and so-called ‘crosses’. The stability of one-dimensional DMA solitons is investigated. It is shown that soliton stability depends on the sign of the wave dispersion as in the case of systems described by the KP-type equation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987 , pp. 373 - 386
Copyright
Copyright © Cambridge University Press 1987

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References

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