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    The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities

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    Authors
    Crosta, M
    Trillo, S
    Fratalocchi, Andrea cc
    KAUST Department
    PRIMALIGHT Research Group
    Electrical Engineering Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2012-09-12
    Permanent link to this record
    http://hdl.handle.net/10754/554390
    
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    Abstract
    By employing a rigorous approach based on the Whitham modulation theory, we investigate dispersive shock waves arising in a high-order nonlinear Schrödinger equation with competing cubic and quintic nonlinear responses. This model finds important applications in both nonlinear optics and Bose–Einstein condensates. Our theory predicts the formation of dispersive shocks with totally controllable properties, encompassing both steering and compression effects. Numerical simulations confirm these results perfectly. Quite remarkably, shock tuning can be achieved in the regime of a very small high order, i.e. quintic, nonlinearity.
    Citation
    The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities 2012, 14 (9):093019 New Journal of Physics
    Publisher
    IOP Publishing
    Journal
    New Journal of Physics
    DOI
    10.1088/1367-2630/14/9/093019
    Additional Links
    http://stacks.iop.org/1367-2630/14/i=9/a=093019?key=crossref.13a4ffad594e9d0d75197777285c9006
    ae974a485f413a2113503eed53cd6c53
    10.1088/1367-2630/14/9/093019
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