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Extremal periodic wave profiles
1Department of Applied Mathematics, University of Twente, The Netherlands
2LabMath-Indonesia, Bandung, Indonesia
3Department of Mathematics, Institut Teknologi Bandung, Indonesia
Abstract. As a contribution to deterministic investigations into extreme fluid surface waves, in this paper wave profiles of prescribed period that have maximal crest height will be investigated. As constraints the values of the momentum and energy integrals are used in a simplified description with the KdV model. The result is that at the boundary of the feasible region in the momentum-energy plane, the only possible profiles are the well known cnoidal wave profiles. Inside the feasible region the extremal profiles of maximal crest height are "cornered" cnoidal profiles: cnoidal profiles of larger period, cut-off and periodically continued with the prescribed period so that at the maximal crest height a corner results.
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Citation: van Groesen, E. and Andonowati, : Extremal periodic wave profiles, Nat. Hazards Earth Syst. Sci., 7, 33-40, 2007. Bibtex EndNote Reference Manager
