A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution
Yükleniyor...
Dosyalar
Tarih
2015-09
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
