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Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves

O. M. Kiselev, S. G. Glebov, V. A. Lazarev

math-pharXiv:math-ph/0410041

Abstract

Solution of the nonlinear Klein-Gordon equation perturbed by small external force is investigated. The frequency of perturbation varies slowly and passes through a resonance. The resonance generates a solitary packets of waves. Full asymptotic description of this process is presented.

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