Discrete Darboux based fast inverse nonlinear Fourier transform algorithm for multi-solitons

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Abstract

A fast algorithm for constructing multi-solitons with linear complexity in the number of samples and eigenvalues is introduced. The algorithm is shown to be significantly faster than the conventional Darboux transform in a numerical example, with acceptable error.
Original languageEnglish
Title of host publicationProceedings 2017 43rd European Conference on Optical Communication (ECOC)
EditorsP. Andrekson, L.K. Oxenlöwe
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Number of pages3
ISBN (Print)978-1-5386-5624-2
DOIs
Publication statusPublished - 2017
Event2017 43rd European Conference on Optical Communication - Gothenburg, Sweden
Duration: 17 Sep 201721 Sep 2017
Conference number: 43rd
http://ecoc2017.org/

Conference

Conference2017 43rd European Conference on Optical Communication
Abbreviated titleECOC 2017
CountrySweden
CityGothenburg
Period17/09/1721/09/17
Internet address

Keywords

  • Darboux
  • multi-soliton
  • Nonlinear Fourier Transform
  • Inverse NFT

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    Chimmalgi, S., & Wahls, S. (2017). Discrete Darboux based fast inverse nonlinear Fourier transform algorithm for multi-solitons. In P. Andrekson, & L. K. Oxenlöwe (Eds.), Proceedings 2017 43rd European Conference on Optical Communication (ECOC) IEEE. https://doi.org/10.1109/ECOC.2017.8346226