Original Article

Astrophysics and Space Science

, Volume 343, Issue 1, pp 221-227

First online:

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

  • M. M. MasudAffiliated withDepartment of Physics, Jahangirnagar University Email author 
  • , M. AsaduzzamanAffiliated withDepartment of Physics, Jahangirnagar University
  • , A. A. MamunAffiliated withDepartment of Physics, Jahangirnagar University

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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.


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