On the exchange of energy in coupled Klein-Gordon equations
نویسنده
چکیده
We consider a system of coupled Klein-Gordon equations, which models one-dimensional nonlinear wave processes in two-component media. We find both linear and nonlinear solutions involving the exchange of energy between the different components of the system. The solutions are a continuum generalization of the classical example of energy exchange in Mandelshtam’s system of coupled pendulums. PACS numbers: 02.30 Jr, 61.72 Bd, 62.30+d MSC numbers: 74 J30, 35 C20, 41 A 60
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