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Collision-less shocks and solitons in dense laser-produced Fermi plasma

Published online by Cambridge University Press:  20 January 2020

J. Goswami
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
S. Chandra*
Affiliation:
Department of Physics, Goverment General Degree College at Kushmandi, Dakshin Dinajpur733121, India
J. Sarkar
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
S. Chaudhuri
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
B. Ghosh
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
*
Author for correspondence: S. Chandra, Department of Physics, Goverment General Degree College at Kushmandi, Dakshin Dinajpur733121, India. E-mail: swarniv147@gmail.com

Abstract

The theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

Type
Research Article
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press.

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