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Title: Two-dimensional cylindrical ion-acoustic solitary and rogue waves in ultrarelativistic plasmas

Abstract

The propagation of ion-acoustic (IA) solitary and rogue waves is investigated in a two-dimensional ultrarelativistic degenerate warm dense plasma. By using the reductive perturbation technique, the cylindrical Kadomtsev–Petviashvili (KP) equation is derived, which can be further transformed into a Korteweg–de Vries (KdV) equation. The latter admits a solitary wave solution. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency, the KdV equation can be transferred to a nonlinear Schrödinger equation to study the nonlinear evolution of modulationally unstable modified IA wavepackets. The propagation characteristics of the IA solitary and rogue waves are strongly influenced by the variation of different plasma parameters in an ultrarelativistic degenerate dense plasma. The present results might be helpful to understand the nonlinear electrostatic excitations in astrophysical degenerate dense plasmas.

Authors:
 [1];  [2];  [3];  [2]
  1. Institute of Physics and Electronics, University of Peshawar, Peshawar 25000 (Pakistan)
  2. National Centre for Physics at QAU Campus, Shahdrah Valley Road, Islamabad 44000 (Pakistan)
  3. Department of Physics, Faculty of Science, Port Said University, Port Said 42521 (Egypt)
Publication Date:
OSTI Identifier:
22227922
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 20; Journal Issue: 7; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASTROPHYSICS; CYLINDRICAL CONFIGURATION; EXCITATION; ION ACOUSTIC WAVES; IONS; KORTEWEG-DE VRIES EQUATION; LANGMUIR FREQUENCY; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; PLASMA DENSITY; RELATIVISTIC PLASMA; SOLITONS; TWO-DIMENSIONAL CALCULATIONS; WAVE PACKETS

Citation Formats

Ata-ur-Rahman,, National Centre for Physics at QAU Campus, Shahdrah Valley Road, Islamabad 44000, Ali, S., Moslem, W. M., Mushtaq, A., and Department of Physics, Abdul Wali Khan University, Mardan 23200. Two-dimensional cylindrical ion-acoustic solitary and rogue waves in ultrarelativistic plasmas. United States: N. p., 2013. Web. doi:10.1063/1.4812715.
Ata-ur-Rahman,, National Centre for Physics at QAU Campus, Shahdrah Valley Road, Islamabad 44000, Ali, S., Moslem, W. M., Mushtaq, A., & Department of Physics, Abdul Wali Khan University, Mardan 23200. Two-dimensional cylindrical ion-acoustic solitary and rogue waves in ultrarelativistic plasmas. United States. https://doi.org/10.1063/1.4812715
Ata-ur-Rahman,, National Centre for Physics at QAU Campus, Shahdrah Valley Road, Islamabad 44000, Ali, S., Moslem, W. M., Mushtaq, A., and Department of Physics, Abdul Wali Khan University, Mardan 23200. 2013. "Two-dimensional cylindrical ion-acoustic solitary and rogue waves in ultrarelativistic plasmas". United States. https://doi.org/10.1063/1.4812715.
@article{osti_22227922,
title = {Two-dimensional cylindrical ion-acoustic solitary and rogue waves in ultrarelativistic plasmas},
author = {Ata-ur-Rahman, and National Centre for Physics at QAU Campus, Shahdrah Valley Road, Islamabad 44000 and Ali, S. and Moslem, W. M. and Mushtaq, A. and Department of Physics, Abdul Wali Khan University, Mardan 23200},
abstractNote = {The propagation of ion-acoustic (IA) solitary and rogue waves is investigated in a two-dimensional ultrarelativistic degenerate warm dense plasma. By using the reductive perturbation technique, the cylindrical Kadomtsev–Petviashvili (KP) equation is derived, which can be further transformed into a Korteweg–de Vries (KdV) equation. The latter admits a solitary wave solution. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency, the KdV equation can be transferred to a nonlinear Schrödinger equation to study the nonlinear evolution of modulationally unstable modified IA wavepackets. The propagation characteristics of the IA solitary and rogue waves are strongly influenced by the variation of different plasma parameters in an ultrarelativistic degenerate dense plasma. The present results might be helpful to understand the nonlinear electrostatic excitations in astrophysical degenerate dense plasmas.},
doi = {10.1063/1.4812715},
url = {https://www.osti.gov/biblio/22227922}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 20,
place = {United States},
year = {Mon Jul 15 00:00:00 EDT 2013},
month = {Mon Jul 15 00:00:00 EDT 2013}
}