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Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations

Skryabin, Dmitry V. and Firth, William J. (1999) Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 60 (1). pp. 1019-1029. ISSN 1063-651X

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    Abstract

    We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schrödinger equations. Varying the relative strength of cross-phase and self-phase effects we show the existence and origin of four branches of MI of the two-wave solitary solutions. We give a physical interpretation of our results in terms of the group-velocity-dispersion- (GVD-) induced polarization dynamics of spatial solitary waves. In particular, we show that in media with normal GVD spatial symmetry breaking changes to polarization symmetry breaking when the relative strength of the cross-phase modulation exceeds a certain threshold value. The analytical and numerical stability analyses are fully supported by an extensive series of numerical simulations of the full model.

    Item type: Article
    ID code: 6474
    Keywords: modulational instability, Schrodinger equations, solitary solutions, spatial solitary waves, polarization, bright solitary waves, Plasma physics. Ionized gases, Physics
    Subjects: Science > Physics > Plasma physics. Ionized gases
    Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 08 Jul 2008
    Last modified: 06 Oct 2012 07:47
    URI: http://strathprints.strath.ac.uk/id/eprint/6474

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