An analysis of higher order terms for ion-acoustic waves by use of the modified Poincar,-Lighthill-Kuo method
Yükleniyor...
Tarih
2015-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, by utilizing the modified Poincar,-Lighthill-Kuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various order terms in the perturbation expansion. Seeking a progressive wave solution to these evolution equations we obtained the speed correction terms so as to remove some possible secularities. The result obtained here is exactly the same with those of the modified reductive perturbation and re-normalization methods. The method presented here is quite simple and based on introducing a new set of stretched coordinates.
Açıklama
Anahtar Kelimeler
Lon-acoustic cold plasma, Modified PLK method, Solitary waves, Reductive perturbation method, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
Indian Journal of Pure and Applied Mathematics
WoS Q DeÄŸeri
Q3
Scopus Q DeÄŸeri
Q3
Cilt
46
Sayı
3
Künye
Demiray, H. (2015). An analysis of higher order terms for ion-acoustic waves by use of the modified poincar,-lighthill-kuo method. Indian Journal of Pure and Applied Mathematics, 46(5), 669-678. doi:10.1007/s13226-015-0131-x
