矩形槽浅水表面波的二次谐波共鸣* |
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引用本文: | 黄国翔,颜家壬,邹凤梧. 矩形槽浅水表面波的二次谐波共鸣*[J]. 应用数学和力学, 1988, 9(10): 945-950 |
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作者姓名: | 黄国翔 颜家壬 邹凤梧 |
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作者单位: | 1.湘潭大学; |
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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.
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收稿时间: | 1987-10-16 |
The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough |
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Affiliation: | 1.Xiangtan University, Hunan;2.Huazhong University of Science and Technology, Wuhan |
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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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