Coupled modified Kadomtsev-Petviashvili equations in dispersive elastic media


Erbay S.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.34, ss.289-297, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 2
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0020-7462(98)00031-6
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Sayfa Sayıları: ss.289-297

Özet

The present work considers two-dimensional non-linear wave propagation in an infinite, homogeneous micropolar elastic medium. The reductive perturbation method is directly applied to a Lagrangian whose Euler-Lagrange equations give the field equations for a geometrically non-linear micropolar elastic medium. It is shown that the behavior of non-linear waves in the long-wave approximation is governed by the two-coupled modified Kadomtsev-Petviashvili equations. Travelling wave solutions of the non-linear evolution equations are considered by means of a modified Hirota method. (C) 1998 Elsevier Science Ltd. All rights reserved.