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Title: Nonlinear features of ion acoustic shock waves in dissipative magnetized dusty plasma

The nonlinear propagation of small as well as arbitrary amplitude shocks is investigated in a magnetized dusty plasma consisting of inertia-less Boltzmann distributed electrons, inertial viscous cold ions, and stationary dust grains without dust-charge fluctuations. The effects of dissipation due to viscosity of ions and external magnetic field, on the properties of ion acoustic shock structure, are investigated. It is found that for small amplitude waves, the Korteweg-de Vries-Burgers (KdVB) equation, derived using Reductive Perturbation Method, gives a qualitative behaviour of the transition from oscillatory wave to shock structure. The exact numerical solution for arbitrary amplitude wave differs somehow in the details from the results obtained from KdVB equation. However, the qualitative nature of the two solutions is similar in the sense that a gradual transition from KdV oscillation to shock structure is observed with the increase of the dissipative parameter.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics, West Bengal State University, Barasat, Kolkata 700126 (India)
  2. Department of Instrumentation Science, Jadavpur University, Kolkata 700032 (India)
  3. Department of Mathematics, Visva-Bharati, Santiniketan 731204, India and Advanced Centre for Nonlinear and Complex Phenomena, 1175 Survey Park, Kolkata 700075 (India)
Publication Date:
OSTI Identifier:
22299728
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ELECTRONS; FLUCTUATIONS; IONS; MAGNETIC FIELDS; MOMENT OF INERTIA; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PERTURBATION THEORY; PLASMA; SHOCK WAVES