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Breaking of a weak shock wave on shallow water

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Abstract

A perturbation method is used to derive the fundamental equations and certain necessary and sufficient conditions for the breaking of weak shock waves encountered in the investigation of the one-dimensional and two-dimensional systems of equations of motion of shallow water.

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Literature cited

  1. G. B. Whitham, Linear and Nonlinear Waves, Wiley Interscience, New York (1974).

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  2. Khoang Van Tao, “The small parameter method in dam-breaking problems,” Vestn. Leningr. Univ. Ser. 1, No. 4, 105–107 (1987).

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Authors
  1. Khoang Van Tao
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 159–162, 1988.

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Van Tao, K. Breaking of a weak shock wave on shallow water. J Math Sci 55, 1760–1763 (1991). https://doi.org/10.1007/BF01098216

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  • DOI: https://doi.org/10.1007/BF01098216

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