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Rogue waves and rational solutions of the nonlinear Schrödinger equation

AuthorsAkhmediev, N. ; Ankiewicz, A.; Soto Crespo, J. M.
Issue Date2009
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 80: 026601 (2009)
AbstractWe present a method for finding the hierarchy of rational solutions of the self-focusing nonlinear Schrödinger equation and present explicit forms for these solutions from first to fourth order. We also explain their relation to the highest amplitude part of a field that starts with a plane wave perturbed by random small amplitude radiation waves. Our work can elucidate the appearance of rogue waves in the deep ocean and can be applied to the observation of rogue light pulse waves in optical fibers. © 2009 The American Physical Society.
Identifiersdoi: 10.1103/PhysRevE.80.026601
issn: 1539-3755
Appears in Collections:(CFMAC-IO) Artículos
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