Dust-acoustic rogue waves in a nonextensive plasma

Journal Article · Thu Dec 15 04:00:00 EST 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.84.066402· OSTI ID:21612542

Moslem, W M; Shukla, P K ^[1]; Sabry, R; El-Labany, S K ^[2]

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1. International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr University Bochum, D-44780 Bochum (Germany)
2. Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Damietta-Branch, New Damietta 34517, Damietta (Egypt)

We present an investigation for the generation of a dust-acoustic rogue wave in a dusty plasma composed of negatively charged dust grains, as well as nonextensive electrons and ions. For this purpose, the reductive perturbation technique is used to obtain a nonlinear Schroedinger equation. The critical wave-number threshold k{sub c}, which indicates where the modulational instability sets in, has been determined precisely for various regimes. Two different behaviors of k{sub c} against the nonextensive parameter q are found. For small k{sub c}, it is found that increasing q would lead to an increase of k{sub c} until q approaches a certain value q{sub c}, then further increase of q beyond q{sub c} decreases the value of k{sub c}. For large k{sub c}, the critical wave-number threshold k{sub c} is always increasing with q. Within the modulational instability region, a random perturbation of the amplitude grows and thus creates dust-acoustic rogue waves. In order to show that the characteristics of the rogue waves are influenced by the plasma parameters, the relevant numerical analysis of the appropriate nonlinear solution is presented. The nonlinear structure, as reported here, could be useful for controlling and maximizing highly energetic pulses in dusty plasmas.

• OSTI ID: 21612542
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print) Journal Issue: 6 Vol. 84; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
DUSTS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
INSTABILITY
IONS
LEPTONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PLASMA
PULSES
RANDOMNESS
SCHROEDINGER EQUATION
WAVE EQUATIONS