Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves
classification
🧮 math-ph
math.MP
keywords
equationklein-gordonnonlinearpacketsresonancesolitarywavesasymptotic
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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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