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Helmholtz algebraic solitons

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Christian, JM, McDonald, GS and Chamorro-Posada, P 2010, 'Helmholtz algebraic solitons' , Journal of Physics A: Mathematical and Theoretical, 43 (8) .

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    Abstract

    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: Colleges and Schools > College of Science & Technology
    Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
    Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics 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: 17 Oct 2011 14:15
    URI: http://usir.salford.ac.uk/id/eprint/2985

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