Dynamics of Partial Differential Equations
Volume 2 (2005)
The slow passage through the resonances and wave packets with the different carriers
Pages: 261 – 280
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.
Klein-Gordon equation, wave packets, finite collections of harmonics, asymptotics, resonance
2010 Mathematics Subject Classification
Primary 35-xx. Secondary 78-xx.