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arXiv 0806.3338math-phmath.MP
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弱非线性色散波慢通过参数共振

Slow passage through parametric resonance for a weakly nonlinear dispersive wave

S. Glebov, O. Kiselev, N. Tarkhanov

摘要:

研究了受参数驱动扰动的非线性Klein-Gordon方程的解。参数扰动的频率变化缓慢,并通过一个共振值。它导致溶液的变化。得到了共振前后渐近解的联系公式。

英文摘要:

A solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver is studied. The frequency of the parametric perturbation varies slowly and passes through a resonant value. It yields a change in a solution. We obtain a connection formula for the asymptotic solution before and after the resonance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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