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Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas

Published online by Cambridge University Press:  13 July 2015

Biswajit Sahu ,
Barnali Pal ,
Swarup Poria  and
Rajkumar Roychoudhury
Biswajit Sahu*
Affiliation:
Department of Mathematics, West Bengal State University, Barasat, Kolkata-700126, India
Barnali Pal
Affiliation:
Department of Applied Mathematics, University of Calcutta, Kolkata-700009, India
Swarup Poria
Affiliation:
Department of Applied Mathematics, University of Calcutta, Kolkata-700009, India
Rajkumar Roychoudhury
Affiliation:
Advanced Centre for Nonlinear and Complex Phenomena, 1175 Survey Park, Kolkata-700075, India
*
†Email address for correspondence: [email protected]
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Abstract

The nonlinear properties of the ion acoustic waves (IAWs) in a three-component quantum plasma comprising electrons, and positive and negative ions are investigated analytically and numerically by employing the quantum hydrodynamic (QHD) model. The Sagdeev pseudopotential technique is applied to obtain the small-amplitude soliton solution. The effects of the quantum parameter $H$ , positive to negative ion density ratio ${\it\beta}$ and Mach number on the nonlinear structures are investigated. It is found that these factors can significantly modify the properties of the IAWs. The existence of quasi-periodic and chaotic oscillations in the system is established. Switching from quasi-periodic to chaotic is possible with the variation of Mach number or quantum parameter $H$ .

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 5 , October 2015 , 905810510
Copyright
© Cambridge University Press 2015 

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