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, Italy, 1 - 10 July 1999, pp.411-414 identifier

  • Publication Type: Conference Paper / Full Text
  • City: GALLIPOLI
  • Country: Italy
  • Page Numbers: pp.411-414
  • Istanbul Technical University Affiliated: No

Abstract

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.