Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
Yükleniyor...
Dosyalar
Tarih
2018-09-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of modified PLK formalism and the reductive perturbation method and obtained the KdV equation for the lowest order term in the perturbation expansion. The method is further extended to include the contribution of higher order terms in the expansion; the evolution equation for the second order term is found to be the degenerate(linearized) KdV equation with non-homogeneous term. Seekink the localized travelling wave solution (solitons) to these evolution equations we obtained the speed correction terms and the wave profiles. Numerical results for the set of suitable parameters( Williams et. al. [23]) are shown inb the form of some graphs. The combined effect of nonextensive parameter (q) and the nonthermal parameter (alpha) on the soliton dynamics has also been studied.
Açıklama
Anahtar Kelimeler
Solitons, Tsallis statistics, Nonthermal distribution, Double-layers, Plasma, Dusty plasmas, Ion acoustic waves, Lighthill method
Kaynak
TWMS Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
8
Sayı
2
Künye
Demiray, H. (2018). Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution. TWMS Journal of Applied and Engineering Mathematics, 8(2), 438-447.
