Amplitude modulation of nonlinear waves in fluid-filled tapered tubes
Yükleniyor...
Dosyalar
Tarih
2003-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Consultants Bureau
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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