Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves
Yükleniyor...
Dosyalar
Tarih
2009-10-15
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a thin walled prestressed elastic tube with variable radius, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube, by employing the reductive perturbation method. By considering the blood as an incompressible non-viscous fluid, the evolution equation is obtained as variable coefficients Korteweg-de Vries equation. Noticing that for a set of initial deformations, the coefficient characterizing the nonlinearity vanish, by re-scaling the stretched coordinates we obtained the variable coefficient modified KdV equation. Progressive wave solution is sought for this evolution equation and it is found that the speed of the wave is variable along the tube axis.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Propagation, Pressure, Korteweg-de Vries equation, Solitons, Water waves, Elastic tubes, Evolution equations, Fluid-filled, KdV equations, Korteweg-de Vries equations, Long-wave approximation, Non-Linearity, Nonlinear waves, Nonviscous fluids, Pre-stressed, Progressive wave solutions, Reductive perturbation methods, Solitary wave, Thin-walled, Variable coefficients, Variable radius, Computational mechanics, Differential equations, Perturbation techniques, Tubes (components), Waves, Control nonlinearities, Thin walled structures
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
42
Sayı
1
Künye
Demiray, H. (2009). Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves. Chaos, Solitons and Fractals, 42(1), 358-364. doi:10.1016/j.chaos.2008.12.014
