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Oblique nonlinear Alfvén waves in strongly magnetized beam plasmas. Part 2. Soliton solutions and integrability

Published online by Cambridge University Press:  13 March 2009

Bernard Deconinck ,
Peter Meuris  and
Frank Verheest
Bernard Deconinck
Affiliation:
Sterrenkundig Observatorium, Universiteit Gent, Krijslaan 281, B-9000 Gent, Belgium
Peter Meuris
Affiliation:
Sterrenkundig Observatorium, Universiteit Gent, Krijslaan 281, B-9000 Gent, Belgium
Frank Verheest
Affiliation:
Sterrenkundig Observatorium, Universiteit Gent, Krijslaan 281, B-9000 Gent, Belgium
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Abstract

Oblique propagation of MHD waves in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts is described by a modified vector derivative nonlinear Schrödinger equation, if charge separation in Poisson's equation and the displacement current in Ampère's law are properly taken into account. This modified equation cannot be reduced to the standard derivative nonlinear Schrödinger equation, and hence requires a new approach to solitary-wave solutions, integrability and related problems. The new equation is shown to be integrable by the use of the prolongation method, and by finding a sufficient number of conservation laws, and possesses bright and dark soliton solutions, besides possible periodic solutions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 50 , Issue 3 , December 1993 , pp. 457 - 476
Copyright
Copyright © Cambridge University Press 1993

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