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Quasi-parallel propagating solitons in magnetised relativistic electron–positron plasmas

Published online by Cambridge University Press:  23 March 2023

Michael S. Ruderman Open the ORCID record for Michael S. Ruderman [Opens in a new window] ,
Nikolai S. Petrukhin ,
Efim Pelinovsky  and
Liliya Y. Kataeva
Michael S. Ruderman*
Affiliation:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK Space Research Institute (IKI), Russian Academy of Sciences, Moscow, Russia Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia
Nikolai S. Petrukhin
Affiliation:
National Research University – Higher School of Economics, Moscow, Russia
Efim Pelinovsky
Affiliation:
National Research University – Higher School of Economics, Moscow, Russia Department of Nonlinear Geophysical Processes, Institute of Applied Physics, Nizhny Novgorod, Russia
Liliya Y. Kataeva
Affiliation:
Nizhny Novgorod State Technical University n.a. R. Alekseev, Nizhny Novgorod, Russia
*
†Email address for correspondence: m.s.ruderman@sheffield.ac.uk
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Abstract

In this article, we study nonlinear waves propagating along the background magnetic field in relativistic electron–positron plasmas. Using the reductive perturbation method, we derive a three-dimensional equation describing these waves. When the perturbations do not vary in the directions orthogonal to the background magnetic field this equation reduces to the vector modified Kortewed–de Vries equation. We present solutions of the obtained equation in the form of planar solitary waves and describe the results of study of their stability with respect to transverse perturbations. We also study numerically non-planar solitary waves.

Keywords

astrophysical plasmasplasma nonlinear phenomenaplasma waves
Type
Research Article
Information
Journal of Plasma Physics , Volume 89 , Issue 2 , April 2023 , 905890202
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press

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References

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