K.R. Khusnutdinova and D.E. Pelinovsky

On the exchange of energy in coupled Klein-Gordon equations

Wave Motion 38, 1-10 (2003)

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.

Keywords:
COUPLED KLEIN-GORDON EQUATIONS, COUPLED NONLINEAR SCHRODINGER EQUATIONS, ENERGY EXCHANGE IN TWO-COMPONENT SYSTEMS, LINEAR AND NONLINEAR WAVES