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

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.

21 pages, LaTeX

Cited by in corpus (1)

• The slowly passage through the resonances and wave packets with the different carriers