Startseite Dust magnetoacoustic waves in an inhomogeneous cylindrical four-component dusty plasma in the presence of polarization force
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Dust magnetoacoustic waves in an inhomogeneous cylindrical four-component dusty plasma in the presence of polarization force

  • Sarit Maitra und Chitrita Dasgupta EMAIL logo
Veröffentlicht/Copyright: 29. April 2024
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 79 Heft 7

Abstract

Dust magnetoacoustic waves have been examined in an inhomogeneous, bounded, cylindrical dusty plasma containing oppositely polarized dust particles. Considering polarization force, dust dynamics in r − θ plane is studied in the presence of inhomogeneous external magnetic field along z axis. At equilibrium, the dusty plasma components are supposed to follow Gaussian density distribution. Using reductive perturbation method (RPM), a variable coefficient cylindrical Kadomtsev–Petviashvili (VCCKP) equation has been derived. For weak azimuthal perturbation, an analytical solution, obtained by Zhang (“Exact solutions of a kdv equation with variable coefficients via exp-function method,” Nonlinear Dynam., vol. 52, nos. 1–2, pp. 11–17, 2008) using Exp-function method, is chosen. Phase velocity of dust magnetoacoustic wave is found to be modified by the density inhomogeneities, polarization force, dust charge state ratio and ion-to-electron temperature ratio. Spatio-temporal evolution of the dust number densities has been noticed. Existence of the compressive electromagnetic solitary waves is observed numerically for the chosen dusty plasma parameter range. The impacts of the inhomogeneity, polarization force, dust charge state ratio and ion-to-electron temperature ratio on the relative amplitude of the dust magnetoacoustic wave are also discussed.

Keywords: magnetoacoustic waves; dusty plasma; inhomogeneity; opposite polarity; polarization force; variable coefficient cylindrical Kadomtsev–Petviashvili (VCCKP) equation
Corresponding author: Chitrita Dasgupta, Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India; and Department of Basic Science and Humanities, University of Engineering and Management Kolkata, New Town, University Area, Plot No. III, B/5, New Town Rd, Action Area III, Kolkata 700160, West Bengal, India, E-mail:

Acknowledgments

The authors thank the anonymous referees for their valuable comments and suggestions to improve the work.

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Competing interests: The authors state no conflict of interest.

  5. Research funding: None declared.

  6. Data availability: Not applicable.

Appendix A: Expressions of x1 − x9

(56) x 1 = n dn 0 m d n z d n + n dp 0 m d p z d p , x 2 = Z d 0 ̄ ( n i 0 T i + n e 0 T e ) − R ( n dp 0 Z + n dn 0 ) n i 0 T e + n e 0 T i , x 3 = 1 , x 4 = R ( 1 + Z ) n dp 0 n dn 0 m d p m d n × 1 z d p − 1 z d n n i 0 T e + n e 0 T i , x 5 = n dp 0 n dn 0 m d p m d n 1 z d p − 1 z d n m d p z d p + m d n z d n , x 6 = R m d n n dn 0 z d n n i 0 T e + n e 0 T i , x 7 = m d n 2 n dn 0 z d n 2 , x 8 = R Z m d p n dp 0 z d p n i 0 T e + n e 0 T i , x 9 = m d p 2 n dp 0 z d p 2 .

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Received: 2023-06-01
Accepted: 2024-04-03
Published Online: 2024-04-29
Published in Print: 2024-07-26

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. On some novel solitonic structures for the Zhiber–Shabat model in modern physics
  4. Chirped optical solitons for the complex Ginzburg–Landau equation with Hamiltonian perturbations and Kerr law nonlinearity
  5. Magnetoacoustic waves in spin-1/2 dense quantum degenerate plasma: nonlinear dynamics and dissipative effects
  6. Hydrodynamics & Plasma Physics
  7. Stability analysis of thermosolutal convection in a rotating Navier–Stokes–Voigt fluid
  8. On the validity of the exchange principle in rotatory electrothermoconvection
  9. Dust magnetoacoustic waves in an inhomogeneous cylindrical four-component dusty plasma in the presence of polarization force
  10. Solid State Physics & Materials Science
  11. Tailoring reduced graphene oxide into nanofibrous architectures: fabrication, characterization, and functional insights
  12. On the stability analysis of a restrained functionally graded nanobeam in an elastic matrix with neutral axis effects
https://doi.org/10.1515/zna-2024-0047
Schlagwörter für diesen Artikel
magnetoacoustic waves; dusty plasma; inhomogeneity; opposite polarity; polarization force; variable coefficient cylindrical Kadomtsev–Petviashvili (VCCKP) equation

Artikel in diesem Heft

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. On some novel solitonic structures for the Zhiber–Shabat model in modern physics
  4. Chirped optical solitons for the complex Ginzburg–Landau equation with Hamiltonian perturbations and Kerr law nonlinearity
  5. Magnetoacoustic waves in spin-1/2 dense quantum degenerate plasma: nonlinear dynamics and dissipative effects
  6. Hydrodynamics & Plasma Physics
  7. Stability analysis of thermosolutal convection in a rotating Navier–Stokes–Voigt fluid
  8. On the validity of the exchange principle in rotatory electrothermoconvection
  9. Dust magnetoacoustic waves in an inhomogeneous cylindrical four-component dusty plasma in the presence of polarization force
  10. Solid State Physics & Materials Science
  11. Tailoring reduced graphene oxide into nanofibrous architectures: fabrication, characterization, and functional insights
  12. On the stability analysis of a restrained functionally graded nanobeam in an elastic matrix with neutral axis effects
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