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Download fileWave breaking and the generation of undular bores in an integrable shallow-water system
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posted on 2005-07-22, 09:26 authored by Gennady El, Roger Grimshaw, A.M. KamchatnovThe generation of an undular bore in the vicinity of a wave-breaking point is con-
sidered for the integrable Kaup-Boussinesq shallow water system. In the framework
of the Whitham modulation theory, an analytic solution of the Gurevich-Pitaevskii
type of problem for a generic “cubic” breaking regime is obtained using a generalized
hodograph transform, and a further reduction to a linear Euler-Poisson equation. The
motion of the undular bore edges is investigated in detail.
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