The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough

Huang Guo-xiang; Yan Jia-ren; Zou Feng-wu

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Huang Guo-xiang, Yan Jia-ren, Zou Feng-wu. The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough[J]. Applied Mathematics and Mechanics, 1988, 9(10): 945-950.

Citation:

Huang Guo-xiang, Yan Jia-ren, Zou Feng-wu. The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough[J]. Applied Mathematics and Mechanics, 1988, 9(10): 945-950.

Citation:

Huang Guo-xiang, Yan Jia-ren, Zou Feng-wu. The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough[J]. Applied Mathematics and Mechanics, 1988, 9(10): 945-950.

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The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough

1.
Xiangtan University, Hunan;
2.
Huazhong University of Science and Technology, Wuhan

Received Date: 1987-10-16
Publish Date: 1988-10-15

Abstract

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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References(9)

References

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