Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed

BAI Yu-chuan; XU Hai-jue; LU Dong-qiang

Volume 26 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(5): 602-608

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

BAI Yu-chuan, XU Hai-jue, LU Dong-qiang. Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed[J]. Applied Mathematics and Mechanics, 2005, 26(5): 602-608.

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

BAI Yu-chuan, XU Hai-jue, LU Dong-qiang. Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed[J]. Applied Mathematics and Mechanics, 2005, 26(5): 602-608.

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Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed

Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, P. R. China;
Department of mechanical engineering, The University of Hong Kong, Hong Kong, P. R. China

Received Date: 2003-04-22
Rev Recd Date: 2005-02-01
Publish Date: 2005-05-15

Abstract

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. The results of the analytic expression are compared with the correlative experimental data, which shows that the practical situation can be reflected in the evolution of the estabilished model of the wave.
- wave,
- sandy coast,
- non-linearity

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References(16)

References

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