Rogue waves and solitons on a cnoidal background
Date
Authors
Kedziora, D. J.
Ankiewicz, A.
Akhmediev, N.
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Verlag
Abstract
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.
Description
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Source
The European Physical Journal Special Topics