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Tailing wavetrain generation in precursor soliton generation in two-layer flow

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Abstract

A theory of tailing wavetrain generation for the precursor soliton generation in two-layer flow is presented by using averaged KdV equations (AKdV), which are derived by the authors in terms of Whitham's method of averaging[1,2]. From the AKdV equations, group velocities of the tailing wavetrain generation are obtained by means of generating conditions of the tailing wavetrains, furthermore an analytical solution of the tailing wavetrain generation is found theoretically. A comparison between the theoretical and numerical results is carried out in the present paper, which shows that the theoretical results are in good agreement with the numerical ones, obtained from the fKdV equation in two-layer flow with the depth of unity in the rest.

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Authors and Affiliations

  1. Instute of Physical Oceanography and Physical Oceanography Lab., Ocean University of Qingdao, 266003, Qingdao, China

    Xu Zhaoting & Xu Hao

  2. Key Lab. of Marine Science & Numerical Modeling, State Oceanic Administration, 266003, Qingdao, China

    Xu Zhaoting & Xu Hao

  3. Department of Mathematical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Samuel Shan-pu Shen

Authors
  1. Xu Zhaoting
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  2. Xu Hao
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  3. Samuel Shan-pu Shen
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Additional information

The project is supported by the National Natural Science Foundation of China (No. 49776284)

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Zhaoting, X., Hao, X. & Shen, S.Sp. Tailing wavetrain generation in precursor soliton generation in two-layer flow. Acta Mech Sinica 16, 1–7 (2000). https://doi.org/10.1007/BF02487936

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  • DOI: https://doi.org/10.1007/BF02487936

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