Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution:Weighted residual method
Yükleniyor...
Dosyalar
Tarih
2020-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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 in the cylindrical(spherical) coordinates through the use of reductive perturbation method and the cylindrical(spherical) KdV and the modified KdV equations are obtained. An approximate analytical method for the progressive wave solution is presented for these evolution equation in the sense of weighted residual method. It is observed that both amplitudes and the wave speeds decrease with the time parameter ?. Since the wave profiles change with ?, the waves cannot be treated as solitons. It is further observed that the amplitudes of spherical waves are larger than those of the cylindrical waves; and the wave amplitudes of modified KdV equation are much larger than those of the KdV equation. The effects of physical parameters (?, q) on the wave characteristics are also discussed.
Açıklama
Anahtar Kelimeler
Acoustics, Approximate analytical methods, Cairns-Tsallis distribution, Dust, Dust charge, Korteweg-de Vries equation, Nonlinear equations, Nonplanar solitary waves, Nonthermal, Perturbation techniques, Positive ions, Progressive wave solutions, q-nonextensive nonthermal distribution, Reductive perturbation methods, Solitons, Spheres, Tsallis distributions, Two-component plasma, Velocity distribution, Wave characteristics, Weighted residual method
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
130
Sayı
Künye
Demiray, H. (2020). Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution:Weighted residual method. Chaos, Solitons and Fractals: The Interdisciplinary Journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 130, 109448, 1-7. doi:10.1016/j.chaos.2019.109448
