Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution:Weighted residual method

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Küçük Resim

Tarih

2020-01

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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
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