Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
Yükleniyor...
Dosyalar
Tarih
2003
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley-V C H Verlag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a tapered, thin walled, long, and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible non-viscous fluid, the evolution equation is obtained as the nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with a variable wave speed. It is observed that the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.
Açıklama
In conducting this research, H.D. was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Tapered tubes, Nonlinear modulation, Solitary waves, Shock waves, Propagation, Arteries
Kaynak
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
83
Sayı
6
Künye
Demiray, H. (2003). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 83(6), 397-408. doi:10.1002/zamm.200310028
