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

2004/10/18 by O. M. Kiselëv, O. M. Kiselev, Kiselev, O. M. +6 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #34E10 #37K40 #74J30 #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #math-ph #math.MP #msc:34E10 #msc:37K40 #msc:74J30

paper · pdf · doi:10.48550/arxiv.math-ph/0410041

21 pages, LaTeX

arxiv created 2004/10/18 · openalex publication_date 2004/10/18 · 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 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.

Citations

• Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability

Cited by

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

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