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Helmholtz bright and boundary solitons

Christian, JM, McDonald, GS and Chamorro-Posada, P 2007, 'Helmholtz bright and boundary solitons' , Journal of Physics A: Mathematical and Theoretical, 40 (7) , pp. 1545-1560.

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    Abstract

    We report, for the first time, exact analytical boundary solitons of a generalized cubic-quintic Non-Linear Helmholtz (NLH) equation. These solutions have a linked-plateau topology that is distinct from conventional dark soliton solutions; their amplitude and intensity distributions are spatially delocalized and connect regions of finite and zero wave-field disturbances (suggesting also the classification as 'edge solitons'). Extensive numerical simulations compare the stability properties of recently-reported Helmholtz bright solitons, for this type of polynomial non-linearity, to those of the new boundary solitons. The latter are found to possess a remarkable stability characteristic, exhibiting robustness against perturbations that would otherwise lead to the destabilizing of their bright-soliton counterparts

    Item Type: Article
    Themes: Energy
    Media, Digital Technology and the Creative Economy
    Subjects outside of the University Themes
    Schools: 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: GS McDonald
    Date Deposited: 14 Oct 2011 10:41
    Last Modified: 20 Aug 2013 18:14
    URI: http://usir.salford.ac.uk/id/eprint/18328

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