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

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

2004-10-18

arxiv.org/abs/math-ph/0410041v1

Physics

Mathematical Physics

21 pages, LaTeX

Scientific paper

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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