Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
Yükleniyor...
Dosyalar
Tarih
2003-07
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, and then utilizing the modified reductive perturbation technique presented by us [15] the amplitude modulation of weakly nonlinear waves is examined. It is shown that the first order term in the perturbation expansion is governed by a nonlinear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a nonhomogeneous term. In the longwave limit a travelling wave type of solution to these equations are also given.
Açıklama
This work was partially supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Elastic tubes, Inviscid fluid, Propagation, Pressure, Amplitude modulation, Elasticity, Incompressible flow, Nonlinear equations, Tubes (components)
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
41
Sayı
12
Künye
Demiray, H. (2003). Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: Strongly dispersive case. International Journal of Engineering Science, 41(12), 1387-1403. doi:10.1016/S0020-7225(03)00039-9
