Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes

Ilkay Bakirtaş; Hilmi Demiray

doi:10.1016/S0096-3003(02)00958-X

Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes

Ilkay Bakirtaş, Hilmi Demiray^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Isik University

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

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 Schrödinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	83-101
Sayfa sayısı	19
Dergi	Applied Mathematics and Computation
Hacim	149
Basın numarası	1
DOI'lar	https://doi.org/10.1016/S0096-3003(02)00958-X
Yayın durumu	Yayınlandı - 5 Şub 2004

Finansman

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.

Finansörler	Finansör numarası
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Türkiye Bilimler Akademisi

Belgeye Erişim

10.1016/S0096-3003(02)00958-X

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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AB - 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 Schrödinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented.

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Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap