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Rogue waves and solitons on a cnoidal background

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Date

2014-01-23

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.

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Citation

URI

http://hdl.handle.net/1885/15440

Collections

ANU Research Publications

Source

The European Physical Journal Special Topics

Type

Journal article

Book Title

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DOI

10.1140/epjst/e2014-02083-4

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