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Accelerating self-modulated nonlinear waves in weakly and strongly magnetized relativistic plasmas

Published online by Cambridge University Press:  27 February 2024

Felipe A. Asenjo Open the ORCID record for Felipe A. Asenjo [Opens in a new window]
Felipe A. Asenjo*
Affiliation:
Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7491169, Chile
*
†Email address for correspondence: felipe.asenjo@uai.cl
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Abstract

It is known that a nonlinear Schrödinger equation describes the self-modulation of a large amplitude circularly polarized wave in relativistic electron–positron plasmas in the weakly and strongly magnetized limits. Here, we show that such an equation can be written as a modified second Painlevé equation, producing accelerated propagating wave solutions for those nonlinear plasmas. This solution even allows the plasma wave to reverse its direction of propagation. The acceleration parameter depends on the plasma magnetization. This accelerating solution is different to the usual soliton solution propagating at constant speed.

Keywords

plasma wavesplasma nonlinear phenomenaplasma properties
Type
Research Article
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , February 2024 , 905900119
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

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