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Quasi-parallel propagation of solitary waves in magnetised non-relativistic electron–positron plasmas

Published online by Cambridge University Press:  09 June 2020

Michael S. Ruderman Open the ORCID record for Michael S. Ruderman [Opens in a new window]
Michael S. Ruderman*
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, SheffieldS3 7RH, UK Space Research Institute (IKI), Russian Academy of Sciences, Moscow, Russia Moscow Center for Fundamental and Applied Mathematics, Russia
*
†Email address for correspondence: m.s.ruderman@sheffield.ac.uk
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Abstract

We study the propagation of nonlinear waves in non-relativistic electron–positron plasmas. The waves are assumed to propagate at small angles with respect to the equilibrium magnetic field. We derive the equation describing the wave propagation under the assumption that the waves are weakly dispersive and also can weakly depend on spatial variables orthogonal to the equilibrium magnetic field. We obtain solutions of the derived equation describing solitons. Then we study the stability of solitons with respect to transverse perturbations.

Keywords

plasma wavesplasma nonlinear phenomenaplasma instabilities
Type
Research Article
Information
Journal of Plasma Physics , Volume 86 , Issue 3 , June 2020 , 905860311
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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