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Nonlinear excitations and “peakons” of a (2+1)-dimensional generalized Broer-Kaup system

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Abstract

Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg–de Vries, the Camassa–Holm, and the Whitham–Broer–Kaup (WBK) equations. Here a generalized WBK system is studied via the multi-linear variable separation approach. A special class of wave profiles with discontinuous derivatives (“peakons”) is developed. Peakons of various features, e.g. periodic, pulsating or fractal, are investigated and interactions of such entities are studied.

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Authors and Affiliations

  1. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

    X. Y. Tang & S. Y. Lou

  2. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, China

    K. W. Chow

  3. Department of Physics, Ningbo University, Ningbo, 315211, China

    S. Y. Lou

Authors
  1. X. Y. Tang
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  2. K. W. Chow
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  3. S. Y. Lou
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Corresponding author

Correspondence to X. Y. Tang.

Additional information

The project supported by the National Natural Science Foundation of China (10475055, 10547124 and 90503006), and the Hong Kong Research Grant Council Contract HKU 7123/05E.

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Tang, X.Y., Chow, K.W. & Lou, S.Y. Nonlinear excitations and “peakons” of a (2+1)-dimensional generalized Broer-Kaup system. Acta Mech Sin 23, 209–214 (2007). https://doi.org/10.1007/s10409-007-0062-9

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  • DOI: https://doi.org/10.1007/s10409-007-0062-9

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