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Nonlinear waves in a bi-layer and coupled Klein-Gordon equations
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.
History
School
- Science
Department
- Mathematical Sciences
Pages
133641 bytesPublication date
2002Notes
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