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Discrete rogue waves of the Ablowitz-Ladik and Hirota equations

Ankiewicz, Adrian; Akhmediev, Nail; Soto-Crespo, J.M.


We show that the Ablowitz-Ladik equation, which is an integrable form of the discretized nonlinear Schrödinger equation, has rogue wave solutions in the form of the rational solutions. We show that there is a hierarchy of rational solutions and we derive

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.82.026602


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