A method for higher-order expansion in non-linear ion-acoustic waves
Yükleniyor...
Dosyalar
Tarih
2000-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The basic equations describing the non-linear ion-acoustic waves in a cold collisionless plasma, in the longwave limit, is re-examined through the use of a modified multiple-scale expansion method. Expanding the field quantities into a power series of the smallness parameter epsilon, a Set Of evolution equations is obtained for various terms in the perturbation expansion. To illustrate the present derivation, a localized travelling wave solution is studied for the derived field equations and the result is compared with those of Malfliet and Wieers (J. Plasma Phys. 56 (1996) 441-450), who employed the dressed solitary wave approach from the outset of their study.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Multiple scale, Travelling waves, Solitary waves, Perturbation, Approximation theory, Asymptotic stability, Differential equations, Numerical methods, Perturbation techniques, Plasmas, Cold collisionless plasma, Evolution equations, Higher order expansion, Multiple scale expansion method, Ion acoustic waves
Kaynak
International Journal of Non-linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
35
Sayı
2
Künye
Demiray, H. (2000). A method for higher-order expansion in non-linear ion-acoustic waves. International Journal of Non-Linear Mechanics, 35(2), 347-353. doi:10.1016/S0020-7462(99)00023-2