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Title: A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution

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.
Authors:
 [1] ;  [2]
  1. Department of Mathematics, Faculty of Arts and Sciences, Işık University, 34980 Şile-İstanbul (Turkey)
  2. Department of Civil Engineering, Faculty of Engineering, Işık University, 34980 Şile-İstanbul (Turkey)
Publication Date:
OSTI Identifier:
22490128
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANALYTICAL SOLUTION; COORDINATES; CYLINDRICAL CONFIGURATION; ELECTRONS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PERTURBATION THEORY; PLASMA; VORTICES