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Article

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
ABI

Abstract

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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