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

Ankiewicz, Adrian and Clarkson, Peter and 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. (Full text available)

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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
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Peter A Clarkson
Date Deposited: 29 Jun 2011 13:33
Last Modified: 28 Apr 2014 14:55
Resource URI: http://kar.kent.ac.uk/id/eprint/23851 (The current URI for this page, for reference purposes)
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