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Journal of Science and Technology in the Tropics (2012) 8: 29-40
Journal of Science and Technology in the Tropics 29
Dust acoustic dressed solitons in a four component dusty
plasma with superthermal electrons
Prasanta Chatterjee 1 , Ganesh Mondal 2 , Gurudas Mondal 3 and
C. S. Wong 4*
1
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan-731235, India
2
Department of Mathematics, Siksha-Satra, Visva Bharati University, Santiniketan-731236, India
3
Department of ECE, East West University, Mohakhali, Dhaka-1212, Bangladesh
4
Plasma Technology Research Centre, Physics Department, University of Malaya,
50603 Kuala Lumpur, Malaysia
( * E-mail: cswong@um.edu.my)
Received 22-12-2011; accepted 12-02-2012
Abstract Nonlinear dust acoustic dressed soliton is studied in a four component dusty
plasma. Superthermal distributions for electrons are considered. The Korteweg-de
Vries (KdV) equation is derived by using reductive perturbation technique. A higher
order inhomogeneous differential equation is obtained for the higher order correction.
The expression for dressed soliton is obtained by the renormalization method. The
expressions for higher order correction are determined by using a truncated series
solution technique.
Keywords Korteweg-de Vries equation – reductive perturbation technique –
inhomogeneous differential equation – renormalization method – dressed soliton
INTRODUCTION
Dusty plasma research is one of the most rapidlly growing areas in plasma physics.
Usually the dust grains are of micron or sub micron size but their masses are very
large. Non-linear phenomena like solitons, shocks and vortices in dusty plasma
have been studied theoretically and experimentally by several investigators [1-11].
Recently, it is reported that dust acoustic waves (DAW) [4-5] and dust ion acoustic
waves (DIAW) [6-7] are also present in dusty plasma and these wave phenomena
attract many researchers to work in these fields. Most of the investigators consider
three component dusty plasma system for their research and these three components
are electrons, ions, and negatively charged dust grains[12-14]. However, it has
been found that positively and negatively charged dust grains can co-exist in space
[15-17] and in laboratory plasmas [18]. Therefore, it is suggested to investigate the
nonlinear behaviours of DAW and DIAW by considering four component dusty
plasma that consists of electrons, ions, and positively and negatively charged dust
grains.