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Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

Published online by Cambridge University Press:  06 November 2019

Indrani Paul ,
Arkojyothi Chatterjee  and
Sailendra Nath Paul Open the ORCID record for Sailendra Nath Paul [Opens in a new window]
Indrani Paul
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India
Arkojyothi Chatterjee
Affiliation:
East Kolkata Centre for Science Education and Research, P-1, B.P. Township, Kolkata700 094, India
Sailendra Nath Paul*
Affiliation:
Department of Physics, Jadavpur University, Kolkata700032, India East Kolkata Centre for Science Education and Research, P-1, B.P. Township, Kolkata700 094, India
*
Author for correspondence: Sailendra Nath Paul, Department of Physics, Jadavpur University, Kolkata700032, India. E-mail: drsnpaul@gmail.com
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Abstract

Nonlinear propagation of ion acoustic waves has been studied in unmagnetized quantum (degenerate) plasma in the presence of an ion beam using the one-dimensional quantum hydrodynamic model. The Korteweg–de Vries (K–dV) equation has been derived by using the reductive perturbation technique. The solution of ion acoustic solitary waves is obtained from the K–dV equation. The theoretical results have been analyzed numerically for different values of plasma parameters and the results are presented graphically. It is seen that the formation and structure of solitary waves are significantly affected by the ion beam in quantum plasma. The solitary waves will be compressive or rarefactive depending upon the values of velocity, concentration, and temperature of the ion beam. The critical value of ion beam density for the nonexistence of solitary wave has been numerically estimated, and its variation with velocity and temperature of ion beam has been discussed graphically. The results are new and would be very useful for understanding the beam–plasma interactions and the formation of nonlinear wave structures in dense quantum plasma.

Keywords

Ion acoustic solitary waveion beamKorteweg–de Vries equationquantum plasmareductive perturbation method
Type
Research Article
Information
Laser and Particle Beams , Volume 37 , Issue 4 , December 2019 , pp. 370 - 380
Copyright
Copyright © Cambridge University Press 2019

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