Numéro
J. Phys. IV France
Volume 02, Numéro C1, Avril 1992
Deuxième Congrès Français d'Acoustique / Second French Conference on Acoustics
Page(s) C1-733 - C1-736
DOI http://dx.doi.org/10.1051/jp4:19921159
Deuxième Congrès Français d'Acoustique / Second French Conference on Acoustics

J. Phys. IV France 02 (1992) C1-733-C1-736

DOI: 10.1051/jp4:19921159

SOLITONS ACOUSTIQUES GUIDÉS DANS UNE PLAQUE CRISTALLINE À SYMÉTRIE CUBIQUE

B. COLLET

Laboratoire de Modélisation en Mécanique, associé au CNRS URA 229, Université Pierre et Marie Curie, Tour 66, Boîte 162, 4 place Jussieu, F-75252 Paris cedex 05, France


Abstract
Dispersion and nonlinearity are two necessary ingredients for the existence in physical systems of solitons. In the present work the influences of dispersions and of nonlinearity material on shear horizontal (SH) waves in simple-cubic crystal plates with free faces are examined on basis of nonlinear equations extracted from 3-dimensional lattice model. The analysis is restricted to excitations which consist of a slowly varying envelope modulating a harmonic carrier which is not limited to long wave length. In the case of excitations of small amplitude it is shown that the amplitude of the envelope is governed by a cubic nonlinear Schrödinger equation.



© EDP Sciences 1992