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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| Official URL: http://dx.doi.org/10.1088/1751-8113/43/12/122002 |
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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 |
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| DOI/Identification number: | 10.1088/1751-8113/43/12/122002 |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) Q Science > QC Physics |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Peter Clarkson |
| Date Deposited: | 29 Jun 2011 13:33 UTC |
| Last Modified: | 20 May 2025 11:33 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/23851 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Clarkson, Peter.
| Creator's ORCID: |
 https://orcid.org/0000-0002-8777-5284
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