Nonlinear Waves in a Bi-layer and Coupled Klein-gordon Equations
نویسنده
چکیده
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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