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Modulational instability of ion-acoustic waves in fully relativistic two-component plasma

Published online by Cambridge University Press:  30 January 2015

B. Ghosh  and
S. Banerjee
B. Ghosh*
Affiliation:
Department of Physics, Jadavpur University, Kolkata, India
S. Banerjee
Affiliation:
Department of Electronics, Vidyasagar College, Kolkata, India
*
†Email address for correspondence: bsdvghosh@gmail.com
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Abstract

Nonlinear amplitude modulation of ion-acoustic waves (IAWs) in a fully relativistic unmagnetized two-fluid plasma has been theoretically studied by using complete set of fully relativistic dynamic equations. To describe the nonlinear evolution of the wave envelope a nonlinear Schrödinger (NLS) equation is derived by using standard multiple scale perturbation technique. Using this equation it is shown that the wave becomes modulationally unstable as the wavenumber exceeds certain critical value. This critical wavenumber is found to decrease with increase in relativistic effect. The instability growth rate has also been calculated numerically for different values of plasma drift velocity. The growth rate is shown to decrease with increase in the relativistic effect.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 3 , June 2015 , 905810308
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Copyright
Copyright © Cambridge University Press 2015 

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