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Non-extensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions

Published online by Cambridge University Press:  09 April 2014

Akbar Sabetkar  and
Davoud Dorranian
Akbar Sabetkar
Affiliation:
Laser Laboratory., Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran
Davoud Dorranian*
Affiliation:
Laser Laboratory., Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran
*
†Email address for correspondence: [email protected]
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Abstract

The nonlinear Zakharov–Kuznetsov and the modified Zakharov–Kuznetsov equations are derived for dust-acoustic solitary waves (DASWs) in a magnetized four-component dusty plasma system comprising negatively charged cold dust, non-extensive electrons, and two-temperature thermal ions using standard reductive perturbation method. The combined effects of electron non-extensivity, strength of magnetic field, and its obliqueness on the DASWs profile are analyzed. Different ranges of non-extensive q-parameter are considered. Our results show that solitary waves, that their amplitude and width of which depend sensitively on the q-non-extensive parameter, can exist. Due to electron non-extensivity, our dusty plasma model can admit positive potential as well as negative potential solitons. The strength of magnetic field has no effect on the amplitude of solitary waves, whereas its obliqueness affects both amplitude and width of the solitary waves structure. Results show that the amplitude of soliton increases with increasing the velocity of soltion. For any magnitude of q there is an extremum for the direction of the magnetic field at which the width of soliton is maximum.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 4 , August 2014 , pp. 565 - 579
Copyright
Copyright © Cambridge University Press 2014 

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