Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 1005-1011.

• Articles • Previous Articles    

THE SECOND HARMONIC RESONANCE FOR THE SHALLOW WATER SURFACE-WAVE IN A RECTANGULAR TROUGH

Huang Guo-xiang1, Yan Jia-ren1, Zou Feng-wu2   

  1. 1. Xiangtan University, Hunan;
    2. Huazhong University of Science and Technology, Wuhan
  • Received:1987-10-16 Online:1988-10-18 Published:1988-10-18
  • Supported by:

    Project Supported by the Natural Science Fund of China

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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