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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (5): 654-.

• Articles • 上一篇    下一篇

NONLINEAR EVOLUTION OF WAVE ON SMALL-AMPLITUDE UNEVEN SLOPING BED

白玉川 徐海钰 卢东强   

  1. 1 .Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, P.R. China;
    2. Deparmaent of Mechanical Engineering, The University of Hong Kong, Hong Kong, P.R. China
  • 收稿日期:2003-04-22 修回日期:2005-02-01 出版日期:2005-05-03 发布日期:2005-05-03
  • 通讯作者: BAI Yu-Chuan E-mail:ychbai @ tju. edu. cn

NONLINEAR EVOLUTION OF WAVE ON SMALL-AMPLITUDE UNEVEN SLOPING BED

 BAI Yu-Chuan, XU Hai-Yu, LEI Dong-Jiang   

  1. 1 .Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, P.R. China;
    2. Deparmaent of Mechanical Engineering, The University of Hong Kong, Hong Kong, P.R. China
  • Received:2003-04-22 Revised:2005-02-01 Online:2005-05-03 Published:2005-05-03
  • Contact: BAI Yu-Chuan E-mail:ychbai @ tju. edu. cn

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摘要： There are different forms of the beds on the natural sandy coast, on which the propagation process of the wave is a typical nonlinear one. Based on this, the nonlinear propagation process of the wave on the small-amplitude uneven sloping bed is analyzed by using the perturbation method. After comparing the results of the analytic expression with the correlative experimental data, it shows that the practical situation can be described by the
established evolution model of the wave.

关键词: wave, sandy coast, nonlinearity, turning point, semi-linear, singular perturbation

Abstract: There are different forms of the beds on the natural sandy coast, on which the propagation process of the wave is a typical nonlinear one. Based on this, the nonlinear propagation process of the wave on the small-amplitude uneven sloping bed is analyzed by using the perturbation method. After comparing the results of the analytic expression with the correlative experimental data, it shows that the practical situation can be described by the
established evolution model of the wave.

Key words: wave, sandy coast, turning point, semi-linear, singular perturbation, nonlinearity

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