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    Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schrödinger equation

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    PhysRevA.84.063809.pdf
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    Type
    Article
    Authors
    Crosta, M.
    Fratalocchi, Andrea cc
    Trillo, S.
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    PRIMALIGHT Research Group
    Physical Science and Engineering (PSE) Division
    Date
    2011-12-05
    Permanent link to this record
    http://hdl.handle.net/10754/552992
    
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    Abstract
    We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schrödinger equation in the regime where a quintic focusing term represents a saturation of the cubic defocusing nonlinearity. We discuss the existence and properties of solitons in terms of catastrophe theory and fully characterize bistability and instabilities of the dark-antidark pairs, revealing mechanisms of decay of antidark solitons into dispersive shock waves.
    Citation
    Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schrödinger equation 2011, 84 (6) Physical Review A
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review A
    DOI
    10.1103/PhysRevA.84.063809
    arXiv
    1111.1872
    Additional Links
    http://link.aps.org/doi/10.1103/PhysRevA.84.063809
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevA.84.063809
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; PRIMALIGHT Research Group; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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