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Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions

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


We present a systematic classification for higher-order rogue-wave solutions of the nonlinear Schrödinger equation, constructed as the nonlinear superposition of first-order breathers via the recursive Darboux transformation scheme. This hierarchy is subdivided into structures that exhibit varying degrees of radial symmetry, all arising from independent degrees of freedom associated with physical translations of component breathers. We reveal the general rules required to produce these...[Show more]

CollectionsANU Research Publications
Date published: 2013-07-30
Type: Journal article
Source: Physical Review E:Statistical, Nonlinear and Soft Matter Physics 88.1 (2013): 013207-1 - 013207-12
DOI: 10.1103/PhysRevE.88.013207


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