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Electrostatic wave structures and their stability analysis in nonextensive magnetised electron-positron-ion plasma

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Abstract

A rigorous theoretical study based on Zakharov Kuznetsov (ZK) equation of ion-acoustic solitary waves (IASWs), their stability analysis in a magnetized e-p-i plasma is presented. The plasma model consists of inertial ions, magnetic field, electrons and positrons obeying q-nonextensive velocity distribution. Reductive perturbation method is used to derive ZK equation. The solitary wave structures are dependent on chosen plasma model, whose parameters influence the solitary characteristics. Particularly, nonextensivity, proportion of positron concentration, magnetic field and difference between electron and positron temperatures play crucial role in the solitary structures. The present work is also extended to give stability analysis and parametric ranges for the existence of stable and unstable solitons. This research work may be useful to understand the physics of nonlinear electrostatic excitations in different astrophysical and cosmic scenarios like stellar polytropes, hadron matter and quark-gluon plasma.

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Acknowledgements

P.B. is thankful to the University Grants Commission (UGC) for its support wide Letter No. F. 42-1065/2013 (SR) dated 22/03/2013. Work of T.S.G. was supported by the CSIR Emeritus Scientist position wide grant No. 21(0880)/2II/EMR-II.

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Correspondence to T. S. Gill.

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Gill, T.S., Bala, P. & Bains, A.S. Electrostatic wave structures and their stability analysis in nonextensive magnetised electron-positron-ion plasma. Astrophys Space Sci 357, 63 (2015). https://doi.org/10.1007/s10509-015-2261-3

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  • DOI: https://doi.org/10.1007/s10509-015-2261-3

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