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Author Demiray, Hilmi ♦ Bayındır, Cihan
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword 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
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.
ISSN 1070664X
Educational Use Research
Learning Resource Type Article
Publisher Date 2015-09-15
Publisher Place United States
Journal Physics of Plasmas
Volume Number 22
Issue Number 9


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