不同载波的慢共振和波包
The slowly passage through the resonances and wave packets with the different carriers
摘要:
研究了受小外力扰动的非线性Klein-Gordon方程的解.扰动由谐波的有限集合表示。扰动的频率变化缓慢,并连续通过谐振值。谐振导致具有不同快振荡载波的波包的序列。完整的渐近描述这个过程。
英文摘要:
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.
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