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Rogue waves and solitons on a cnoidal background

Kedziora, D. J.; Ankiewicz, A.; Akhmediev, N.


Solutions of the nonlinear Schr¨odinger equation, appearing as rogue waves on a spatially-periodic background envelope, are obtained using the Darboux transformation scheme. Several particular examples are illustrated numerically. These include soliton and breather solutions on a periodic background as well as higher-order structures. The results enrich our knowledge of possible analytic solutions that describe the appearance of rogue waves in a variety of situations.

CollectionsANU Research Publications
Date published: 2014-01-23
Type: Journal article
Source: The European Physical Journal Special Topics
DOI: 10.1140/epjst/e2014-02083-4


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