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Dust-Ion-Acoustic Jacobi Cnoidal, Dnoidal and Snoidal Wave Phenomena in a Magnetized Dusty Plasma with (r, q) Distributed Electrons

  • General and Applied Physics
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Abstract

Nonlinear dust-ion-acoustic waves (DIAWs) in a magnetized dusty plasma consisting of inertial ions, stationary dust particles, and (r, q) distributed electrons are studied. The technique of reductive perturbation is used to formulate the Kadomtsev-Petviashili (KP) and modified KP (mKP) equations for DIAWs. By adopting the extended Jacobi elliptic function expansion (EJEFE) method some new analytical dust-ion-acoustic wave solutions of the mKP equation are determined in terms of the Jacobi elliptic functions for the first time in the literature. The parametric effects of spectral indices (r and q), the proportion of the number density of ions to electrons (\(\delta _1\)), the ratio of ion gyroradius to Debye length (\(\gamma\)), direction cosine (l), and strength of magnetic field (\(B_0\)) are analyzed for each wave solution. The obtained result suggests that when nonlinear structures propagate from the magnetosheath to Saturn’s magnetosphere, the waves amplify. The theoretical findings may be applicable to discern some nonlinear wave features in cosmic dusty plasmas.

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Data Availibility Statement

The authors declare that the data supporting the findings of this study are available within the paper. Should any raw data files be needed in another format they are available from the corresponding author upon reasonable request.

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Funding

Dr. Asit Saha is grateful to the Sikkim Manipal Institute of Technology and Sikkim Manipal University for granting TMA Pai Research Grant (Ref. No. 6100/SMIT/R &D/ Project/02/2020).

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Author notes

  1. Roshna Acharya and Punam Kumari Prasad contributed equally.

Authors and Affiliations

  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim, 737136, India

    Roshna Acharya & Asit Saha

  2. School of Computer Application, Inspiria Knowledge Campus, Himachal Vihar, Phase-II, Matigara, Siliguri, West Bengal, 734010, India

    Punam Kumari Prasad

  3. Department of Physics, Malayer University, Malayer, 65719-95863, Iran

    Alireza Abdikian

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  1. Roshna Acharya
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Correspondence to Asit Saha or Alireza Abdikian.

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Acharya, R., Kumari Prasad, P., Saha, A. et al. Dust-Ion-Acoustic Jacobi Cnoidal, Dnoidal and Snoidal Wave Phenomena in a Magnetized Dusty Plasma with (r, q) Distributed Electrons. Braz J Phys 54, 30 (2024). https://doi.org/10.1007/s13538-023-01378-7

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