Nonlinear Wave Structures in Dusty Plasma Using Extended Hyperbolic Tangent Method
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Date
2016
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Publisher
Punjab Agricultural University, Ludhiana
Abstract
An unmagnetised, collisionless plasma consisting of warm ion and cold, massive and charged
dust grain is considered in which electrons are taken as Tsallis distributed. Korteweg-de-Vries
(KdV) equation, in which both ion dynamics and dust dynamics has been considered to
describe the evolution of nonlinear dust-ion acoustic waves, is deduced for dusty plasma
system. KdV equation is derived with the help of reductive perturbation technique. In order to
determine the exact solution of KdV equation, an extended hyperbolic tangent method is
applied which deals with construction of travelling wave solutions. Six different cases of
wave solutions are obtained for which dynamics of both slow and fast modes are studied.
These travelling wave solutions are obtained with the aid of symbolic computation system
which may be important for understanding the dust-ion acoustic solitary waves and shocks in
space and laboratory plasma.
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Keywords
Physics, Hyperbolic Tangent Method, Mathematics, Nonlinear Wave Structures, Dusty Plasma, Tsallis distribution