Skip to the content

Helmholtz-Manakov solitons

Christian, JM, McDonald, GS and Chamorro-Posada, P 2006, 'Helmholtz-Manakov solitons' , Physical Review E, 74 (6) , 066612.

[img]
Preview
PDF (Author version)
Download (302kB) | Preview

    Abstract

    A novel spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (H-M) equation, for describing the evolution of broad multi-component self-trapped beams in Kerr-type media. By omitting the slowly-varying envelope approximation, the H-M equation can describe accurately vector solitons propagating and interacting at arbitrarily large angles with respect to the reference direction. The H-M equation is solved using Hirota’s method, yielding four new classes of Helmholtz soliton that are vector generalizations of their scalar counterparts. General and particular forms of the three invariants of the H-M system are also reported.

    Item Type: Article
    Uncontrolled Keywords: Optical solitons, optical Kerr effect
    Themes: Subjects / Themes > Q Science > QC Physics
    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: Physical Review E
    Publisher: American Physical Society
    Refereed: Yes
    ISSN: 15393755
    Related URLs:
    Depositing User: H Kenna
    Date Deposited: 22 Aug 2007 12:40
    Last Modified: 20 Aug 2013 16:46
    URI: http://usir.salford.ac.uk/id/eprint/298

    Document Downloads

    More statistics for this item...

    Actions (login required)

    Edit record (repository staff only)