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Weakly dissipative dust acoustic solitons in the presence of superthermal particles
Author(s) -
Khan Saadat,
Rahman Ataur,
Hadi F.,
Zeb Aurang,
Khan M.Z.
Publication year - 2017
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201700008
Subject(s) - physics , dissipative system , korteweg–de vries equation , dusty plasma , soliton , dissipation , plasma , ion , electron , wavelength , quantum electrodynamics , atomic physics , nonlinear system , quantum mechanics
An investigation of the linear and non‐linear properties of low‐frequency electrostatic (dust acoustic) waves in a collisional dusty plasma with negative dust grains, Maxwellian electrons, and κ ‐distributed ions is carried out. Low dust–neutral collisions accounting for dissipation (wave damping effect) is considered. The linear properties of dust acoustic excitations are discussed for varying values of relevant plasma parameters. It is shown that large wavelengths (beyond a critical value) are overdamped. In the limit of low dust–neutral collision rate, we have derived a damped Korteweg de Vries (KdV) equation by using the reductive perturbation technique. Supplemented by vanishing boundary conditions, the time‐varying solution of damped KdV equation leads to a weakly dissipative negative potential soliton. The soliton evolution with the damping parameter and other physical plasma parameters (superthermality, dust concentration, ion temperature) is delineated.