Amplitude modulation of nonlinear waves in fluid-filled tapered tubes

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Tarih

2003-12

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Consultants Bureau

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

We study the modulation of nonlinear waves in fluid-filled prestressed tapered tubes. For this, we obtain the nonlinear dynamical equations of motion of a prestressed tapered tube filled with an incompressible inviscid fluid. Assuming that the tapering angle is small and using the reductive perturbation method, we study the amplitude modulation of nonlinear waves and obtain the nonlinear Schrodinger equation with variable coefficients as the evolution equation. A traveling-wave type of solution of such a nonlinear equation with variable coefficients is obtained, and we observe that in contrast to the case of a constant tube radius, the speed of the wave is variable. Namely, the wave speed increases with distance for narrowing. tubes and decreases for expanding tubes.

Açıklama

Anahtar Kelimeler

Nonlinear wave modulation, Tapered elastic tubes, Nonlinear Schrodinger equation

Kaynak

Theoretical and Mathematical Physics

WoS Q Değeri

Q3
Q3

Scopus Q Değeri

Q3

Cilt

137

Sayı

3

Künye

Bakirtaş, İ. & Demiray, H. (2003). Amplitude modulation of nonlinear waves in fluid-filled tapered tubes. Theoretical and Mathematical Physics, 137(3), 1635-1644. doi:10.1023/B:TAMP.0000007912.49768.23