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The phase patterns of higher-order rogue waves

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


We investigate the phase profiles of rogue wave solutions to the nonlinear Schrödinger equation, all produced via the Darboux transformation scheme. We focus specifically on the second-order rogue wave, in both origin-centred and fissioned form, and extrapolate the results for higher-order structures. In particular, a rogue wave solution of order n can be decomposed into n(n + 1)/2 Peregrine breathers, and each peak applies an additive phase shift of 2π to the underlying plane wave background....[Show more]

CollectionsANU Research Publications
Date published: 2013-06
Type: Journal article
Source: Journal of Optics 15.6 (2013): 064011
DOI: 10.1088/2040-8978/15/6/064011


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