On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case
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Dosyalar
Tarih
2005-06
Yazarlar
Dergi Başlığı
Dergi ISSN
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Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the long-wave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it is possible to obtain the modified Burgers, the modified KdV and the modified KdV-Burgers equations. A set of progressive wave solutions is presented for such evolution equations. It is observed that for all these modified evolution equations the wave speeds are proportional to the square of the wave amplitude.
Açıklama
Anahtar Kelimeler
KdV, KdV-Burgers equations, Modified Burgers, Progressive waves, Viscoelastic tubes
Kaynak
Communications in Nonlinear Science and Numerical Simulation
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
10
Sayı
4
Künye
Demiray, H. (2005). On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case. Communications in Nonlinear Science and Numerical Simulation, 10(4), 425-440. doi:10.1016/j.cnsns.2003.08.005