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Title: Nonlinear waves in nonplanar and nonuniform dusty plasmas

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.2168151· OSTI ID:20782486
;  [1]
  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070 (China)

The nonlinear properties of the dust acoustic solitary wave and shock wave in inhomogeneous nonplanar dusty plasmas are considered theoretically and numerically. The effects of nonthermally distributed ions, nonadiabatic dust charge fluctuation, and the inhomogeneity caused by nonuniform equilibrium particle density, nonuniform equilibrium charging, and nonplanar geometry on waves are presented. When {tau}{sub ch}/{tau}{sub d} is small but finite, where {tau}{sub ch} is the charging time scale and {tau}{sub d} is the hydrodynamical time scale, a variable coefficients nonplanar Korteweg-de Vries (KdV) Burgers equation governing the nonlinear waves is derived by the perturbation method. The analytical expressions for the evolution of soliton and shock wave (both oscillatory and monotone shock) are obtained and the theoretical results are confirmed by the numerical solution of the nonlinear wave equation.

OSTI ID:
20782486
Journal Information:
Physics of Plasmas, Vol. 13, Issue 2; Other Information: DOI: 10.1063/1.2168151; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English