矩形槽浅水表面波的二次谐波共鸣<sup>*</sup>

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矩形槽浅水表面波的二次谐波共鸣^*

基金项目: * 国家自然科学基金

摘要: 本文用多重尺度微扰技术研究了矩形槽中浅水表面波的二次谐波共鸣现象.结果表明,波的包络仅与时间慢变量有关.作者严格地求解了波包络方程,并对结果进行了讨论.

Abstract: By using the perturbation method of multiple scales, this paper deals with the phenomenon of the second harmonic resonance for shallow water surface-wave in a rectangular trough. The results show that the envelope of the wave only depends on slow-variables of time. Eqs. of wave envelope are strictly solved and the results are discussed.

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