Dust-acoustic rogue waves in a nonextensive plasma

W. M. Moslem, R. Sabry, S. K. El-Labany, and P. K. Shukla
Phys. Rev. E 84, 066402 – Published 14 December 2011

Abstract

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 Schrödinger equation. The critical wave-number threshold kc, which indicates where the modulational instability sets in, has been determined precisely for various regimes. Two different behaviors of kc against the nonextensive parameter q are found. For small kc, it is found that increasing q would lead to an increase of kc until q approaches a certain value qc, then further increase of q beyond qc decreases the value of kc. For large kc, the critical wave-number threshold kc 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.

  • Figure
  • Figure
  • Figure
  • Received 5 September 2011

DOI:https://doi.org/10.1103/PhysRevE.84.066402

©2011 American Physical Society

Authors & Affiliations

W. M. Moslem1,*, R. Sabry2,†, S. K. El-Labany2,‡, and P. K. Shukla1,§

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

  • *Also at Department of Physics, Faculty of Science, Port Said University, Port Said, Egypt; wmmoslem@hotmail.com, wmm@tp4.rub.de
  • Also at International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr University Bochum, D-44780 Bochum, Germany; Department of Physics, College of Science and Humanitarian Studies, Salman bin Abdulaziz University, Alkharj, KSA; sabryphys@yahoo.com, sabry@tp4.rub.de
  • skellabany@hotmail.com
  • §Also at Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093, USA; profshukla@yahoo.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 6 — December 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×