Wave propagation in an elastic medium: GDS equations

Babaoglu C., Erbay S.

Conference on Symmetry and Perturbation Theory, Cala Gonone, Italy, 30 May - 06 June 2004, pp.22-26 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1142/9789812702142_0003
  • City: Cala Gonone
  • Country: Italy
  • Page Numbers: pp.22-26
  • Istanbul Technical University Affiliated: No

Abstract

Wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. Using a multi-scale expansion of quasi-monochromatic wave solutions, it is shown that (2+1) (two spatial and one temporal) dimensional wave modulation is governed by a system of three nonlinear evolution equations which will be called the "generalized Davey-Stewartson (GDS) equations". Some special solutions of the GDS equations are also presented.