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


Antar N., Demiray H.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.34, sa.1, ss.123-138, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 1
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0020-7462(98)00009-2
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Sayfa Sayıları: ss.123-138

Özet

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.