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Evolution of rogue waves in interacting wave systems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2009 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 86, no 2, 24001- p.Article in journal (Refereed) Published
Abstract [en]

Large-amplitude water waves on deep water have long been known in the seafaring community, and are the cause of great concern for, e.g., oil platform constructions. The concept of such freak waves is nowadays, thanks to satellite and radar measurements, well established within the scientific community. There are a number of important models and approaches for the theoretical description of such waves. By analyzing the scaling behavior of freak wave formation in a model of two interacting waves, described by two coupled non-linear Schrödinger equations, we show that there are two different dynamical scaling behaviors above and below a critical angle θc of the direction of the interacting waves, below which all wave systems evolve and display statistics similar to a wave system of non-interacting waves. The results equally apply to other systems described by the non-linear Schrödinger equations, and should be of interest when designing optical wave guides.

Place, publisher, year, edition, pages
2009. Vol. 86, no 2, 24001- p.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-129041DOI: 10.1209/0295-5075/86/24001ISI: 000266414100013OAI: oai:DiVA.org:uu-129041DiVA: diva2:337493
Available from: 2010-08-06 Created: 2010-08-05 Last updated: 2011-03-04Bibliographically approved

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