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Nonlinear Dynamics and Applications pp 127–137Cite as

Cylindrical and Spherical Ion-Acoustic Shock and Solitary Waves in a Nonplanar Hybrid q-nonextensive Nonthermal Plasma

Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

In this article we investigate the propagating properties of ion-acoustic wave (IAW) in a plasma comprising positively charged ions and electrons abiding by hybrid q-non-extensive non-thermal velocity distribution equation. The nonplanar KdV-Burger (NKDVB) equation is derived from the basic governing equation. Considering the impact from the ion streaming velocity, inter-particle collisions, and viscosity, a Burgers term is introduced in the present system and using Weighted Residual Method (WRM) and Simplified Hirota bilinear method (SHBM) progressive solitary wave solution and shock wave are derived. Finally, the effect of different physical parameters on solitary and shock wave on the propagation of IAW in the present plasma environment is noticed.

Keywords

  • Ion-acoustic wave
  • Hybrid q-nonextensive non-thermal distribution
  • Nonplanar kdV-Burgers equation
  • Solitary and shock wave

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Authors and Affiliations

  1. Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, 736101, India

    Subrata Roy & Rishi Raj Kairi

  2. Department of Mathematics, Mathabhanga College, Coochbehar, 736146, India

    Santanu Raut

Authors
  1. Subrata Roy
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  2. Santanu Raut
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  3. Rishi Raj Kairi
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Correspondence to Subrata Roy .

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Editors and Affiliations

  1. Department of Mathematics, Politecnico di Torino, Torino, Italy

    Santo Banerjee

  2. Sikkim Manipal Institute of Technology, Sikkim Manipal University, East-Sikkim, India

    Asit Saha

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Roy, S., Raut, S., Kairi, R.R. (2022). Cylindrical and Spherical Ion-Acoustic Shock and Solitary Waves in a Nonplanar Hybrid q-nonextensive Nonthermal Plasma. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_11

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