Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
Yükleniyor...
Dosyalar
Tarih
2004-07-15
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
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 inviscid 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 variable wave speed. It is observed that, the wave speed decreases with distance for tubes with descending radius while it increases for tubes with ascending radius.
Açıklama
In conducting this research, H.D. was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Viscous-fluid, Solitary waves, Shock waves, Propagation, Pressure, Arteries, Equation, Amplitude modulation, Asymptotic stability, Blood vessels, Elasticity, Kinematics, Perturbation techniques, Korteweg-de Vries equation, Solitons, Water waves, Elastic tubes, Evolution equation, Nonlinear waves, Nonlinear systems
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
154
Sayı
3
Künye
Bakırtaş, İ. & Demiray, H. (2004). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. Applied Mathematics and Computation, 154(3), 747-767. doi:10.1016/S0096-3003(03)00748-3
