Head-on collision of solitary waves in fluid-filled elastic tubes
Yükleniyor...
Dosyalar
Tarih
2005-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of extended PLK perturbation method. The results show that, up to O(epsilon(2)), the head-on collision of two solitary waves is elastic and the solitary waves preserve their original properties after the collision. The leading-order analytical phase shifts and the trajectories of two solitons after the collision are derived explicitly.
Açıklama
This work was partially supported by the Turkish Academy of Sciences (TÜBA).
Anahtar Kelimeler
Pressure waves, Elastic tubes, Solitary waves, Head-on collision, Korteweg-de Vries equation, Solitons, Water waves, Approximation theory, Blood, Blood vessels, Elasticity, Perturbation techniques, Phase shift, Trajectories, Tubes (components), Nonlinear waves, Wave propagation
Kaynak
Applied Mathematics Letters
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
18
Sayı
8
Künye
Demiray, H. (2005). Head-on collision of solitary waves in fluid-filled elastic tubes. Applied Mathematics Letters, 18(8), 941-950. doi:10.1016/j.aml.2004.08.016
