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Rogue waves and other solutions of single and coupled Ablowitz–Ladik and nonlinear Schrödinger equations

Ankiewicz, Adrian; Devine, Natasha; Unal, M; Chowdury, Amdadul Huq; Akhmediev, Nail


We provide a simple technique for finding the correspondence between the solutions of Ablowitz–Ladik and nonlinear Schrodinger equations. Even though they belong to different classes, in that one is continuous and one is discrete, there are matching solutions. This fact allows us to discern common features and obtain solutions of the continuous equation from solutions of the discrete equation. We consider several examples. We provide tables, with selected solutions, which allow us to easily...[Show more]

CollectionsANU Research Publications
Date published: 2013-06
Type: Journal article
Source: Journal of Optics 15.6 (2013): 064008
DOI: 10.1088/2040-8978/15/6/064008


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