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Nonlinear Dynamics and Applications pp 193–202Cite as

Existence and Stability of Dust-Ion-Acoustic Double Layers Described by the Combined SKP-KP Equation

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Abstract

Sardar et al. [Phys Plasmas 24:063705 (2017)] have investigated dust-ion-acoustic (DIA) solitons of a combined Schamel’s modified Kadomtsev Petviashvili-Kadomtsev Petviashvili (SKP-KP) equation in a dusty plasma consisting of nonthermal electrons which obeys vortex-like velocity distribution. In this paper, we have investigated the existence of double layer solutions and its stability by considering the same combined SKP-KP equation. We have seen that this double layer solution exists when \(L = 0\), where L is a function of the parameters. We have analytically discussed the stability of the double layer solutions.

Keywords

  • Stability
  • Double layers
  • Combined SKdV-KdV equation
  • Combined SKP-KP equation

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Acknowledgements

The authors have used the constructive comments of the reviewer to prepare the manuscript of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, 495009, India

    Sankirtan Sardar

  2. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Anup Bandyopadhyay

Authors
  1. Sankirtan Sardar
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  2. Anup Bandyopadhyay
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Corresponding author

Correspondence to Sankirtan Sardar .

Editor information

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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Sardar, S., Bandyopadhyay, A. (2022). Existence and Stability of Dust-Ion-Acoustic Double Layers Described by the Combined SKP-KP Equation. 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_17

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