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A preliminary study on sea wave packet equations on slowly varying topography

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Abstract

There is a common hypothesis for the presently popular mild-slope equations that wave particle motion is irrotational. In this paper, an attempt is made to abandon the irrotational assumption and to set up new sea wave packet equations on slowly varying topography by use of the WKBJ method. To simplify the deduction, the two-dimensional shallow water equations are used to describe the sea wave particle motion in the very shallow nearshore area. The established equations can give some characteristics of wave propagation near shore.

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Authors and Affiliations

  1. State Key Laboratory of Estuarine and Coastal Research, East China Normal University, 200062, Shanghai, China

    Shouxian Zhu, Pingxing Ding & Yazhen Kong

  2. Meteorology Institute of the PLA Science and Engineering University, 211101, Nanjing, China

    Shouxian Zhu & Wenyu Sha

Authors
  1. Shouxian Zhu
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  2. Pingxing Ding
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  3. Yazhen Kong
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  4. Wenyu Sha
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Correspondence to Shouxian Zhu.

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Zhu, S., Ding, P., Kong, Y. et al. A preliminary study on sea wave packet equations on slowly varying topography. Sc. China Ser. B-Chem. 44 (Suppl 1), 142–149 (2001). https://doi.org/10.1007/BF02884820

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  • DOI: https://doi.org/10.1007/BF02884820

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