Astrophysics and Space Science

, Volume 339, Issue 2, pp 261–267

Planar and nonplanar ion acoustic shock waves with nonthermal electrons and positrons

  • Prasanta Chatterjee
  • Deb Kumar Ghosh
  • Biswajit Sahu
Original article

DOI: 10.1007/s10509-012-1011-z

Cite this article as:
Chatterjee, P., Ghosh, D.K. & Sahu, B. Astrophys Space Sci (2012) 339: 261. doi:10.1007/s10509-012-1011-z

Abstract

The nonlinear propagation of ion acoustic shock waves (IASWs) are studied in an unmagnetized plasma consisting of nonthermal electrons, nonthermal positrons, and singly charged adiabatically hot positive ions, whose dynamics is governed by the two dimensional nonplanar Kadomstev-Petviashvili-Burgers (KPB) equation. The shock solution of the KPB equations is obtained numerically. The effects of several parameters and ion kinematic viscosities on the properties of ion acoustic shock waves are discussed in planar and nonplanar geometry. It is shown that the ion acoustic shock wave propagating in cylindrical/spherical geometry with transverse perturbation will be deformed as time goes on. Also, it is seen that the strength and the steepness of the IASWs increases with increasing β, the nonthermal parameter.

Keywords

Ion acoustic wavesShock waves

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Prasanta Chatterjee
    • 1
  • Deb Kumar Ghosh
    • 1
  • Biswajit Sahu
    • 2
  1. 1.Department of MathematicsSiksha Bhavana Visva Bharati UniversitySantiniketanIndia
  2. 2.Department of MathematicsWest Bengal State UniversityKolkataIndia