A method for higher-order expansion in non-linear ion-acoustic waves

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Küçük Resim

Tarih

2000-03

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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