Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
Yükleniyor...
Dosyalar
Tarih
2004-02-05
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves-near the marginal state is examined through the use of reductive perturbation method. It is shown that the amplitude modulation near the marginal state is governed by a generalized nonlinear Schrodinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented.
Açıklama
In conducting this research, H. Demıray was supported by the Turkish Academy of Sciences; I. Bakirtaş was supported by the Scientific and Technical Research Council of Turkey. I. Bakirtaş is also thankful to Professor T.B. Moodie for his hospitality while she was visiting the University of Alberta to carry out a part of this research.
Anahtar Kelimeler
Schrodinger-equation, Korteweg-de Vries equation, Solitons, Water waves, Amplitude modulation, Differential equations, Elasticity, Oscillations, Perturbation techniques, Tubes (components), Elastic tubes, Nonlinear waves, Nonlinear equations
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
149
Sayı
1
Künye
Bakirtaş, İ. & Demıray, H. (2004). Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes. Applied Mathematics and Computation, 149(1), 83-101. doi:10.1016/S0096-3003(02)00958-X
