Triangular rogue wave cascades
Date
2012-11-08
Authors
Kedziora, David J.
Ankiewicz, Adrian
Akhmediev, Nail
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American Physical Society
Abstract
By numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of the nonlinear Schrödinger equation that appear spatiotemporally as triangular arrays of Peregrine solitons. These can be considered as rogue wave cascades and complement previously discovered circular cluster forms. In this analysis, we reveal a general parametric restriction for their existence and investigate the interplay between cascade and cluster forms. As a result, we demonstrate how to generate many more hybrid rogue wave solutions, including semicircular clusters that resemble claws.
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Keywords: Darboux transformations; Dinger equation; High-order; Rational solution; Rogue waves; Triangular arrays; Solitons; Nonlinear equations
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Physical Review E:Statistical, Nonlinear and Soft Matter Physics 86.5 (2012): 056602-1,056602-9
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Journal article
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