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


Bakirtas I. , Demiray H.

APPLIED MATHEMATICS AND COMPUTATION, cilt.149, ss.83-101, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 149 Konu: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(02)00958-x
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.83-101

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. (C) 2003 Elsevier Inc. All rights reserved.