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On the exchange of energy in coupled Klein–Gordon equations

Authors
Journal
Wave Motion
0165-2125
Publisher
Elsevier
Publication Date
Volume
38
Issue
1
Identifiers
DOI: 10.1016/s0165-2125(03)00022-2

Abstract

Abstract 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.

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