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Nonextensive dust acoustic solitary and shock waves in nonplanar geometry
Biswajit Sahu,Mouloud Tribeche +1 more
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In this article, the properties of cylindrical and spherical dust acoustic (DA) solitary and shock waves in an unmagnetized electron depleted dusty plasma consisting of inertial dust fluid and ions featuring Tsallis statistics are investigated by employing the reductive perturbation technique.Abstract:
The properties of cylindrical and spherical dust acoustic (DA) solitary and shock waves in an unmagnetized electron depleted dusty plasma consisting of inertial dust fluid and ions featuring Tsallis statistics are investigated by employing the reductive perturbation technique. A Korteweg-de Vries Burgers (KdVB) equation is derived and its numerical solution is obtained. The effects of ion nonextensivity and dust kinematic viscosity on the basic features of DA solitary and shock waves are discussed in nonplanar geometry. It is found that nonextensive nonplanar DA waves behave quite differently from their one-dimensional planar counterpart.read more
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Book
Waves in Dusty Space Plasmas
TL;DR: In this article, the authors present a survey of charging mechanisms and experiments, including mass and size distributions, and other modes of charge, such as self-gravitation, self-charge, and fluxuating dust charges.
Journal ArticleDOI
Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas
TL;DR: Symbolic computation on an observationally/experimentally-supported (2+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation is done, for certain dusty plasmas, relying on such plasma coefficient functions as the nonlinearity, dispersion, dusty-fluid-viscosity-dissipation, geometric-effect and diffraction/transverse-perturbation coefficients.
Journal ArticleDOI
Solitonic, periodic, quasiperiodic and chaotic structures of dust ion acoustic waves in nonextensive dusty plasmas
TL;DR: In this paper, the solitonic, periodic, quasiperiodic and chaotic structures of dust ion acoustic waves in an unmagnetized dusty plasma with q-nonextensive electrons are studied using the bifurcation theory of planar dynamical systems through direct approach.
Journal ArticleDOI
Dust-acoustic wave modulation in the presence of q-nonextensive electrons and/or ions in dusty plasma
TL;DR: In this paper, a study of the nonlinear self-modulation of low-frequency electrostatic dust acoustic waves (DAWs) propagating in a dusty plasma, within the theoretical framework of the nonextensive statistics proposed by Tsallis, is presented.
Journal ArticleDOI
Dust ion-acoustic shock waves in nonextensive dusty plasma
TL;DR: In this article, a parametric survey on the propagation characteristics of the dust ion-acoustic (DIA) shock waves showing the effect of nonextesivity with nonextensive electrons in a dissipative dusty plasma system has been carried out using the reductive perturbation technique.
References
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Possible generalization of Boltzmann-Gibbs statistics
TL;DR: In this paper, a generalized form of entropy was proposed for the Boltzmann-Gibbs statistics with the q→1 limit, and the main properties associated with this entropy were established, particularly those corresponding to the microcanonical and canonical ensembles.
Book
Solitons, Nonlinear Evolution Equations and Inverse Scattering
M. A. Ablowitz,Peter A. Clarkson +1 more
TL;DR: In this article, the authors bring together several aspects of soliton theory currently only available in research papers, including inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multidimensional space, and the ∂ method.
Journal ArticleDOI
Exact Solution of the Korteweg-de Vries Equation for Multiple Collisions of Solitons
TL;DR: An exact solution for the Korteweg-de Vries equation for the case of multiple collisions of $N$ solitons with different amplitudes was obtained in this paper, which is the only known exact solution.
Journal ArticleDOI
Dust -acoustic waves in dusty plasmas
TL;DR: In this paper, a balance of dust particle inertia and plasma pressure is investigated and it is shown that these waves can propagate linearly as a normal mode in a dusty plasma, and non-linearly as supersonic solitons of either positive or negative electrostatic potential.
Book
Introduction to Dusty Plasma Physics
TL;DR: The book Introduction to Plasma Physics by Shukla and Mamun as discussed by the authors deals with various aspects of collective processes in dusty plasmas and provides a handbook on waves and instabilities in the coming years.