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Rogue waves, rational solutions, the patterns of their zeros and integral relations

Ankiewicz, Adrian, Clarkson, Peter, Akhmediev, Nail (2010) Rogue waves, rational solutions, the patterns of their zeros and integral relations. Journal of Physics A: Mathematical and Theoretical, 43 (12). p. 122002. ISSN 1751-8113. (doi:10.1088/1751-8113/43/12/122002) (KAR id:23851)

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http://dx.doi.org/10.1088/1751-8113/43/12/122002

Abstract

The focusing nonlinear Schrödinger equation, which describes generic nonlinear phenomena, including waves in the deep ocean and light pulses in optical fibres, supports a whole hierarchy of recently discovered rational solutions. We present recurrence relations for the hierarchy, the pattern of zeros for each solution and a set of integral relations which characterizes them.

Item Type: Article
DOI/Identification number: 10.1088/1751-8113/43/12/122002
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Peter Clarkson
Date Deposited: 29 Jun 2011 13:33 UTC
Last Modified: 16 Feb 2021 12:34 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23851 (The current URI for this page, for reference purposes)
Clarkson, Peter: https://orcid.org/0000-0002-8777-5284
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