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

Yükleniyor...
Küçük Resim

Tarih

2015-09

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Physics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

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.

Açıklama

Anahtar Kelimeler

De-vries equation, Kdv equation, Propagation, Solitons, Transform, Water, Acoustic wave propagation, Control nonlinearities, Cylindrical coordinates, Cylindrical Korteweg-de Vries, Differential equations, Electron distributions, Electrons, Evolution equations, Hot electrons, Korteweg-de Vries equation, Long-wave approximation, Nonlinear equations, Numerical results, Numerical solution, Perturbation techniques, Reductive perturbation methods, Solitons, Trapped ions, Water waves

Kaynak

Physics of Plasmas

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

22

Sayı

9

Künye

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