Equation on spatial variation of shallow water waves amplitude

Yang Lian-gui; Hou Yi-jun

doi:10.1007/BF02848726

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Equation on spatial variation of shallow water waves amplitude

OriginalPaper | Updated：2023-05-16

- Equation on spatial variation of shallow water waves amplitude
- Equation on spatial variation of shallow water waves amplitude
- 海洋湖沼学报（英文） 1998年16卷第3期页码：221-224
- Affiliations：
  
  Institute of Oceanology
- Author bio：
- Funds：
  
  Contribution No. 3324 from the Institute of Oceanology, Chinese Academy of Sciences.;Project 49471276 supported by NSFC and the Ninth-Five-Year Key Project (KI952-s1-420) of the Chinese Academy of Sciences.
- DOI：10.1007/BF02848726
  中图分类号：
- 纸质出版：1998
- Accepted：
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Equation on spatial variation of shallow water waves amplitude[J]. 海洋湖沼学报（英文）, 1998,16(3):221-224.

Lian-gui, Y., Yi-jun, H. Equation on spatial variation of shallow water waves amplitude., Chin. J. Ocean. Limnol. 16, 221–224 (1998). https://doi.org/10.1007/BF02848726
Equation on spatial variation of shallow water waves amplitude[J]. 海洋湖沼学报（英文）, 1998,16(3):221-224. DOI： 10.1007/BF02848726.

Lian-gui, Y., Yi-jun, H. Equation on spatial variation of shallow water waves amplitude., Chin. J. Ocean. Limnol. 16, 221–224 (1998). https://doi.org/10.1007/BF02848726 DOI：

摘要

Abstract

Boussinesq’s theory was used in this study on water waves entering shallow water showing that the spacial variation of the wave amplitude is nonlinear

and is governed by the Duffing equation usually applied to describe nonlinear oscillation in nature.

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Keywords

references

Debnath, L., 1994. Nonlinear Water Wave. Academic Press, Boston, San Diego., CA. p.544.

Hou Yi-jun, Lou Songli, Xie Qiang et al., 1998. The Nonlinear Evolution on the Shallow Water Waves.Chinese Science Bulletin 43(10):844–847.

Jeffery, A., Kawahara, T., 1982. Asymptotic Method in Nonlinear Wave Theory. Pitman Books Limited, London, p. 256

Mei, C. C., 1984. Dynamics of Water Wave. Science Press, Beijing, p. 388. (in Chinese)

Stoker, J. J., 1957. Water Waves. Interscience publishers, New York, p. 567.

Whitham, G. B., 1965. A general approach to linear and nonlinear dispersive waves using a Lagrangian.J. Fluid Mech. 23: 273–283.

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