Helmholtz algebraic solitons

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and Chamorro-Posada, P 2010, 'Helmholtz algebraic solitons' , Journal of Physics A: Mathematical and Theoretical, 43 (8) .

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We report, to the best of our knowledge, the first exact analytical algebraic solitons of a generalized cubic-quintic Helmholtz equation. This class of governing equation plays a key role in photonics modelling, allowing a full description of the propagation and interaction of broad scalar beams. New conservation laws are presented, and the recovery of paraxial results is discussed in detail. The stability properties of the new solitons are investigated by combining semi-analytical methods and computer simulations. In particular, new general stability regimes are reported for algebraic bright solitons.

Item Type: Article
Themes: Subjects / Themes > Q Science > QC Physics > QC350-467 Optics. Light
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Publisher: Institute of Physics
Refereed: Yes
ISSN: 1751-8113
Related URLs:
Depositing User: JM Christian
Date Deposited: 08 Feb 2010 13:48
Last Modified: 15 Feb 2022 15:37
URI: https://usir.salford.ac.uk/id/eprint/2985

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