K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

doi:10.1088/1674-1056/25/10/105202

Abstract The stationary solution is obtained for the K-P-Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev-Petviashvili (K-P) equation, three-dimensional (3D) Burgers equation, and K-P-Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave (DIASW). The K-P equation predictes the existences of stationary small amplitude solitary wave, whereas the K-P-Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma.

Keywords: K-P-Burgers equation negative ion relativistic plasma reductive perturbation method

Received: 23 January 2016
Revised: 08 June 2016
Accepted manuscript online:

PACS:	52.27.Lw	(Dusty or complex plasmas; plasma crystals)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
	52.35.Mw	(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
	52.35.Tc	(Shock waves and discontinuities)

Corresponding Authors: N C Adhikary
E-mail: nirab_iasst@yahoo.co.in

Cite this article:

A N Dev, M K Deka, J Sarma, D Saikia, N C Adhikary K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity 2016 Chin. Phys. B 25 105202

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K—P—Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

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