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Periodic and localized structures in dusty plasma with Kaniadakis distribution

  • Muhammad Khalid EMAIL logo , Mohsin Khan , Muddusir , Ata-ur-Rahman and Muhammad Irshad
Published/Copyright: August 23, 2021
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 76 Issue 10

Abstract

The propagation of electrostatic dust-ion-acoustic nonlinear periodic waves is investigated in dusty plasma wherein electrons follow Kaniadakis distribution. The Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations are derived by employing reductive perturbation method and their cnoidal wave solutions are analysed. The effect of relevant parameters (viz., κ-deformed parameter κ and dust concentration β) on the dynamics of cnoidal structures is discussed. Further it is found that amplitude of compressive cnoidal waves increases with increasing values of β, while reverse effect is observed in case of rarefactive cnoidal structures with rising values of β. Also κ-deformed parameter κ bears no effect on cnoidal waves associated with KdV equation, whereas κ-deformed parameter κ significantly affects the cnoidal waves associated with mKdV equation.

Keywords: cnoidal waves; Kaniadakis distribution; KdV equation; mKdV equation
Corresponding author: Muhammad Khalid, Department of Physics, Government Post Graduate College Mardan, Mardan 23200, Pakistan; and Department of Physics, Islamia College Peshawar (Public Sector University), Peshawar 25120, Pakistan, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-06-09
Accepted: 2021-07-29
Published Online: 2021-08-23
Published in Print: 2021-10-26

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2021-0164
Keywords for this article
cnoidal waves; Kaniadakis distribution; KdV equation; mKdV equation

Articles in the same Issue

  1. Frontmatter
  2. General
  3. Simultaneous demodulation comparison of fiber-optic Fabry–Perot sensors connected in parallel and series
  4. An intensity modulated fiber-optic carbon monoxide sensor based on Ag/Co-MOF in-situ coated thin-core fiber
  5. Dynamical Systems & Nonlinear Phenomena
  6. Periodic and localized structures in dusty plasma with Kaniadakis distribution
  7. Study of optical guiding of the Hermite–Gaussian laser beam in preformed collisional parabolic plasma channel and second harmonic generation
  8. Stability analysis of a delayed predator–prey model with nonlinear harvesting efforts using imprecise biological parameters
  9. Hydrodynamics
  10. Gas–liquid two-phase flow pattern analysis based on multiscale symbolic transfer entropy
  11. Numerical treatment of squeezing unsteady nanofluid flow using optimized stochastic algorithm
  12. Solid State Physics & Materials Science
  13. Identification of thermo optical parameters in 4l-hexyloxy-4-cyanobyphenyl with dispersed ZnO nano particles
  14. The process of magnetic flux penetration into superconductors
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