Contribution of higher order terms to the nonlinear shallow water waves
Yükleniyor...
Dosyalar
Tarih
2012-05-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water 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 that of obtained by the modified reductive perturbation method [12]. We also proposed a method for the evolution equation governing the n th order term in the perturbation expansion. By defining a single time parameter we showed the connection of the modified reductive perturbation method to the scaled multiple-space expansion method.
Açıklama
Anahtar Kelimeler
Shallow water waves, Scaled multiple-space expansion, Solitary waves
Kaynak
TWMS Journal Of Applied And Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
2
Sayı
2
Künye
Demiray, H. (2012). Contribution of higher order terms to the nonlinear shallow water waves. TWMS Journal Of Applied And Engineering Mathematics, 2(2), 210-218.
