Solitary waves with weak transverse perturbations in quantum dusty plasmas

Journal Article · Mon Dec 15 04:00:00 EST 2008 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2983184· OSTI ID:21259755

Ur-Rehman, H; Masood, W; Siddiq, M ^[1]; Khan, S A ^[2]

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1. Theoretical Plasma Physics Division, PINSTECH, P. O. Nilore Islamabad (Pakistan)
2. Department of Physics, COMSATS Institute of Information Technology, Islamabad, Pakistan and National Centre for Physics, Quaid-i-Azam University Campus, Islamabad (Pakistan)

Using the quantum hydrodynamic model, quantum dust ion-acoustic solitary waves are investigated in the presence of weak transverse perturbations. The linear dispersion relation is obtained using the Fourier analysis. The two-dimensional (2D) propagation of small amplitude nonlinear waves is studied by deriving the Kadomtsev-Petviashvili (KP) equation. The traveling wave solution of the KP equation is obtained by employing the tanh method. By dint of this solution, the effects of quantum Bohm pressure and the dust concentration on the 2D solitary structure are studied. The effect of quantum Bohm potential on the stability of the KP soliton is also investigated. The results are supported by the numerical analysis and the relevance of the present investigation in dense astrophysical environments is also pointed out.

• OSTI ID: 21259755
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 15; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISPERSION RELATIONS
DISTURBANCES
DUSTS
FOURIER ANALYSIS
HYDRODYNAMIC MODEL
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
QUANTUM PLASMA
SOLITONS
TRAVELLING WAVES
TWO-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION