Non-linear wave modulation in prestressed fluid field thin elastic tube


Antar N., Demiray H.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol.34, no.1, pp.123-138, 1999 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 1
  • Publication Date: 1999
  • Doi Number: 10.1016/s0020-7462(98)00009-2
  • Title of Journal : INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Page Numbers: pp.123-138

Abstract

In the present work, employing the non-linear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the amplitude modulation of weakly non-linear waves is examined. Assuming the weakness of dispersive effects and utilizing the reductive perturbation technique, it is shown that the amplitude modulation of these waves is governed by a non-linear Schrodinger (NLS) equation. Some special solutions of the NLS equation are given and the modulational instability of the: plane wave solution is discussed for some elastic materials and initial deformations. (C) 1998 Elsevier Science Ltd. All rights reserved.