Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
Yükleniyor...
Dosyalar
Tarih
2018-04
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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 of the above described plasma are re-examined in the cylindrical (spherical) coordinates by employing the reductive perturbation technique. The modified cylindrical (spherical) KdV equation with fractional power nonlinearity is obtained as the evolution equation. Due to the nature of nonlinearity, this evolution equation cannot be reduced to the conventional KdV equation. A new family of closed form analytical approximate solution to the evolution equation and a comparison with numerical solution are presented and the results are depicted in some 2D and 3D figures. The results reveal that both solutions are in good agreement and the method can be used to obtain a new progressive wave solution for such evolution equations. Moreover, the resulting closed form analytical solution allows us to carry out a parametric study to investigate the effect of the physical parameters on the solution behavior of the modified cylindrical (spherical) KdV equation.
Açıklama
Anahtar Kelimeler
De-vries equation, Solitons, Propagation, Korteweg-de Vries equation, Shallow water, Acoustic wave propagation, Computational mechanics, Control nonlinearities, Electrons, Hot electrons, Perturbation techniques, Analytical approximate solution, Closed-form analytical solutions, Electron acoustic waves, Electron distributions, Nonlinear propagation, Physical parameters, Progressive wave solutions, Reductive perturbation, Nonlinear equations
Kaynak
Physics Of Plasmas
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
25
Sayı
4
Künye
Demiray, H. & El-Zahar, E. R. (2018). Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution. Physics Of Plasmas, 25(4), 1-8. doi:10.1063/1.5021729
