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Nonlinear waves in a bi-layer and coupled Klein-Gordon equations

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preprint
posted on 2005-08-25, 14:15 authored by Karima KhusnutdinovaKarima Khusnutdinova
A system of coupled Klein-Gordon equations is suggested to model onedimensional nonlinear wave processes in a bi-layer. The type of coupling depends on the type of the interface and constitutes an arbitrary element of the Lie group classification problem, which is solved for these equations. The classification results are used to find conservation laws and particular invariant solutions.

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School

  • Science

Department

  • Mathematical Sciences

Pages

133641 bytes

Publication date

2002

Notes

This is a pre-print of a paper presented at the IUTAM Symposium “Asymptotics, Singularities and Homogenisation in Problems of Mechanics”, July 8-11, 2002, The University of Liverpool, UK.

Language

  • en

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