Interactions of nonlinear waves in fluid-filled elastic tubes
Yükleniyor...
Dosyalar
Tarih
2007-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Verlag Z Naturforsch
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, treating an artery as a prestressed thin-walled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation by use of the extended PLK (Poincare-Lighthill-Kuo) perturbation method. The results show that up to O(k(3)), where k is the wave number, the head-on collision of two solitary waves is elastic and the solitary waves preserve their original properties after the interaction. 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
Elastic tubes, Solitary waves, Wave interaction, Pressure waves, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
62
Sayı
1-2
Künye
Demiray, H. (2007). Interactions of nonlinear waves in fluid-filled elastic tubes. Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 62(1-2), 21-28. doi:10.1515/zna-2007-1-204
