Wave breaking and the generation of undular bores in an integrable shallow-water system

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dc.creatorEl, G. A.
dc.creatorGrimshaw, R. H. J.
dc.creatorKamchatnov, A. M.
dc.date2004-12-22
dc.date.accessioned2026-07-07T06:25:24Z
dc.date.available2026-07-07T06:25:24Z
dc.descriptionThe generation of an undular bore in the vicinity of a wave-breaking point is considered 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.
dc.description14 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0412060
dc.identifierhttp://arxiv.org/abs/nlin/0412060
dc.identifierStud. Appl. Math. 114 (4) 395-411 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96818
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleWave breaking and the generation of undular bores in an integrable shallow-water system
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