Wave propagation in an elastic medium: GDS equations

Babaoglu C., Erbay S.

Conference on Symmetry and Perturbation Theory, Cala Gonone, İtalya, 30 Mayıs - 06 Haziran 2004, ss.22-26 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1142/9789812702142_0003
  • Basıldığı Şehir: Cala Gonone
  • Basıldığı Ülke: İtalya
  • Sayfa Sayıları: ss.22-26
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.