Effects Of Relative Strength Of Dispersion On The Formation Of Nonlinear Waves In Dusty Plasmas

Journal Article · Tue Jul 07 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3192287· OSTI ID:21344274

Asgari, H; Muniandy, S V; Wong, C S; Yap, S L ^[1]

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1. Plasma Research Laboratory, Department of Physics, University of Malaya, 50603 Kuala Lumpur (Malaysia)

In this paper, we studied the effect of strength of dispersion on the formation of solitons and shock waves in un-magnetized dusty plasma using the reductive perturbative technique. Different relational forms of strength parameter epsilon were chosen such a way that it altered the stretching of space, x and time, t variables, thereby leading to different nonlinearities. First, we considered the form zeta = sq root(epsilon(x-v{sub 0}t)) and tau = sq root(epsilont), where v{sub 0} is the phase velocity, with 0<epsilon<1 is the parameter that measures the strength of the dispersion. We obtained the Korteweg-de Vries (KdV) equation for un-modulated dust acoustic wave with solitary wave-type solution. The effect of dissipation on the wave propagation was analyzed with coordinate transformations zeta epsilon(x-v{sub 0}t) and tau = epsilon{sup 2}t, with 0<epsilon<1. This led to Burgers' equation with shock wave-type solution. From this study, we concluded that when the dissipation effect is negligible in comparison with dispersion, dust charge fluctuations can only change the amplitude of solitary wave, as observed in the KdV case. However, when the system is not sufficiently dispersive, the dissipation due to dust charge fluctuations can play dominant role and eventually leads to the formation of dust-acoustic shock wave.

• OSTI ID: 21344274
• Journal Information: AIP Conference Proceedings, Vol. 1150, Issue 1; Conference: 3. international meeting on frontiers in physics, Kuala Lumpur (Malaysia), 12-16 Jan 2009; Other Information: DOI: 10.1063/1.3192287; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COMPARATIVE EVALUATIONS
DUSTS
FLUCTUATIONS
FLUID MECHANICS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PHASE VELOCITY
PLASMA
POISSON EQUATION
SHOCK WAVES
SOLITONS
SOUND WAVES
WAVE PROPAGATION
DIFFERENTIAL EQUATIONS
EQUATIONS
EVALUATION
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
VARIATIONS
VELOCITY