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Chaos in positive ion–negative ion magnetized plasmas

Published online by Cambridge University Press:  09 November 2020

Samiran Ghosh*
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700009, India
Biplab Maity
Affiliation:
Government General Degree College, Dantan – II, Paschim Medinipur 721445, West Bengal, India
Swarup Poria
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700009, India
*
Email addresses for correspondence: sran_g@yahoo.com, sgappmath@caluniv.ac.in

Abstract

The dynamical behaviour of weakly nonlinear, low-frequency sound waves are investigated in a plasma composed of only positive and negative ions incorporating the effects of a weak external uniform magnetic field. In the plasma model the mass (temperature) of the positive ions is smaller (larger) than that of the negative ions. The dynamics of the nonlinear wave is shown to be governed by a novel nonlinear equation. The stationary plane wave (analytical and numerical) nonlinear analysis on the basis of experimental parameters reveals that the nonlinear wave does have quasi-periodic and chaotic solutions. The Poincarè return map analysis confirms these observed complex structures.

Type
Research Article
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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