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

2005/03/09 by S. G. Glebov, Glebov, S. G., O. M. Kiselëv +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0503019

24 pages, LaTeX

arxiv created 2005/03/09 · openalex publication_date 2005/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Solution of the nonlinear Klein-Gordon equation perturbed by small external force is investigated. The perturbation is represented by finite collections of harmonics. The frequencies of the perturbation vary slowly and pass through the resonant values consecutively. The resonances lead to the sequence of the wave packets with the different fast oscillated carriers. Full asymptotic description of this process is presented.

Citations

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

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