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Triangular rogue wave cascades

Kedziora, David J.; Ankiewicz, Adrian; Akhmediev, Nail


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...[Show more]

CollectionsANU Research Publications
Date published: 2012-11-08
Type: Journal article
Source: Physical Review E:Statistical, Nonlinear and Soft Matter Physics 86.5 (2012): 056602-1,056602-9
DOI: 10.1103/PhysRevE.86.056602


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