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Bifurcation analysis of supernonlinear waves in an electron-positron-ion-dusty plasma having nonthermal distribution of electron and positron

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Abstract

The dynamics of four component dusty plasma with nonthermal electrons and positrons are examined. The bifurcation analysis of small amplitude dust ion acoustic (DIA) waves in this multicomponent plasma is investigated. Employing the reductive perturbation technique (RPT), the two nonlinear equations viz. KdV and mKdV are derived and using the travelling wave transformation, respective planar dynamical systems are deduced. Based on the bifurcation theory of this dynamical system, all possible phase portraits, including nonlinear homoclinic orbit, nonlinear periodic orbit and supernonlinear periodic orbit are presented. The pseudopotential profiles for the nonlinear equations are plotted for different parametric values to illustrate and confirm the phase plane analysis. It is found that the system parameter values affect the bifurcation of the DIA waves. It is also shown that the system supports both nonlinear and supernonlinear DIA periodic waves.

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Acknowledgements

One of the authors Arpita Shome would like to express her gratitude to the DST-Inspire, India for providing the Fellowship for this work (The Fellowship reference no. DST/INSPIRE Fellowship/2017/IF170322). Another author Gadadhar Banerjee is supported by Dr. D. S. Kothari Post Doctoral Fellowship Scheme (Ref. No. F.4-2/2006(BSR)/MA/18-19/0096) given by University Grants Commission (UGC), Govt. of India. All authors are grateful to the reviewer and the editors for their valuable comments and suggestions which helped to improve this paper.

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  1. Department of Applied Mathematics, University of Calcutta, Kolkata, 700009, India

    Arpita Shome

  2. Department of Mathematics, Siksha Bhavana, Visva Bharati, Shantiniketan, 731235, India

    Gadadhar Banerjee

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  1. Arpita Shome
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  2. Gadadhar Banerjee
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Shome, A., Banerjee, G. Bifurcation analysis of supernonlinear waves in an electron-positron-ion-dusty plasma having nonthermal distribution of electron and positron. Ricerche mat 73, 725–739 (2024). https://doi.org/10.1007/s11587-021-00634-9

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