Astrophysics and Space Science

, Volume 343, Issue 1, pp 221–227

Time dependent cylindrical and spherical DIA solitary waves with two populations of thermal electrons in dusty plasma

Authors

    • Department of PhysicsJahangirnagar University
  • M. Asaduzzaman
    • Department of PhysicsJahangirnagar University
  • A. A. Mamun
    • Department of PhysicsJahangirnagar University
Original Article

DOI: 10.1007/s10509-012-1244-x

Cite this article as:
Masud, M.M., Asaduzzaman, M. & Mamun, A.A. Astrophys Space Sci (2013) 343: 221. doi:10.1007/s10509-012-1244-x

Abstract

The propagation of Gardner solitons (GSs) in a nonplanar (cylindrical and spherical) geometry associated with a dusty plasma whose constituents are non-inertial negative static dust, inertial ions, and two population of Boltzmann electrons with two distinctive temperatures, are investigated by deriving the modified Gardner (mG) equation using the reductive perturbation method. The basic features of nonplanar dust-ion-acoustic GSs are analyzed by numerical solutions of mG equation. It has been found that the basic characteristics of GSs, which are shown to exist for the values of μ c =n e10/n i0 around 0.319 for n e20/n i0=0.04 and T e1/T e2=0.2 [where n e10 (n e20) is the cold (hot) electron number density at equilibrium, T e1 (T e2) is the temperature of the cold (hot) electron species] are different from those of K-dV (Korteweg-de Vries) solitons, which do not exist around μ c ≃0.319. The implications of our results in understanding the nonlinear electrostatic perturbations observed in many laboratory and astrophysical situations (viz. double-plasma machines, rf discharge plasma, noctilucent cloud region in Earth’s atmosphere, source regions of Auroral Kilometric Radiation, Saturn’s E-ring, etc.) where electrons with different temperatures can significantly modify the wave dynamics, are also briefly discussed.

Keywords

Dust-ion-acoustic waves Two-electron-temperature Modified Gardner equation Modified Gardner solitons Reductive perturbation method

Copyright information

© Springer Science+Business Media B.V. 2012