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Nonlinear dust acoustic travelling waves in dusty plasmas due to dust charge fluctuations

Published online by Cambridge University Press:  13 July 2015

Asit Saha ,
Prasanta Chatterjee  and
Nikhil Pal
Asit Saha*
Affiliation:
Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, Rangpo, East-Sikkim 737 136, India Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan 731 235, India
Prasanta Chatterjee
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan 731 235, India
Nikhil Pal
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan 731 235, India
*
†Email address for correspondence: [email protected]
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Abstract

Dust acoustic solitary waves, blow-up solitary waves and periodic waves have been investigated in unmagnetized dusty plasmas with Maxwell-distributed electrons and ions, considering dust charge fluctuations using the bifurcation theory of planar dynamical systems. The basic equations are transformed to an ordinary differential equation involving the electrostatic potential. Applying the bifurcation theory of planar dynamical systems, we have established the existence of solitary, blow-up solitary and periodic waves. Four exact solutions of the solitary, blow-up solitary and periodic waves are derived depending on the physical parameters. Regarding the solitary, blow-up solitary and periodic waves, we have presented the combined effects of the density ratio of electrons and ions ( ${\it\alpha}$ ), the temperature ratio of electrons and ions $({\it\beta})$ and the speed of the travelling wave ( $v$ ) on the characteristics of dust acoustic solitary, blow-up solitary and periodic waves.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 5 , October 2015 , 905810509
Copyright
© Cambridge University Press 2015 

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