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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution

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Date

2015-09

Author

Demiray, Hilmi
Bayındır, Cihan

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Citation

Demiray, H. & Bayındır, C. (2015). A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution. Physics of Plasmas, 22(9), 1-5. doi:10.1063/1.4929863

Abstract

In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations of the above described plasma are re-examined in the cylindrical coordinates through the use reductive perturbation method in the long-wave approximation. The modified cylindrical Korteweg-de Vries equation with fractional power nonlinearity is obtained as the evolution equation. Due to the nature of nonlinearity, which is fractional, this evolution equation cannot be reduced to the conventional Korteweg-de Vries equation. An analytical solution to the evolution equation, by use of the method developed by Demiray [Appl. Math. Comput. 132, 643 (2002); Comput. Math. Appl. 60, 1747 (2010)] and a numerical solution by employing a spectral scheme are presented and the results are depicted in a figure. The numerical results reveal that both solutions are in good agreement.

Source

Physics of Plasmas

Volume

22

Issue

9

URI

https://hdl.handle.net/11729/702
http://dx.doi.org/10.1063/1.4929863

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]

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  • Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution 

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  • Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution 

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    We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations ...



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