Coupled modified Kadomtsev-Petviashvili equations in a higher order gradient elastic medium

Babaoglu C., Erbay S.

Workshop on Nonlinearity, Integrability and all that - 20 Years after NEEDS 79, GALLIPOLI, İtalya, 1 - 10 Temmuz 1999, ss.411-414 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: GALLIPOLI
  • Basıldığı Ülke: İtalya
  • Sayfa Sayıları: ss.411-414
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In the present study, propagation of two-dimensional transverse waves in a weakly nonlinear and weakly dispersive elastic solid is examined. The reductive perturbation method is directly applied to a Lagrangian whose Euler-Lagrange equations give the field equations for a quadratically nonlinear elastic medium with higher order gradients. In the long-wave approximation, it is shown that the long-time behavior of the two transverse waves is governed by the two coupled modified Kadomtsev-Petviashvili (CMKP) equations.