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Integrable Shallow‐Water Equations and Undular Bores

G. A. ÉlRussian Academy of Sciences, Troitsk,Roger GrimshawRussian Academy of Sciences, Troitsk,M. V. PavlovMonash University
2001en
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On the basis of the integrable Kaup–Boussinesq version of the shallow‐water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.

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