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    Diffractons: Solitary Waves Created by Diffraction in Periodic Media

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    130946526.pdf
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    Type
    Article
    Authors
    Ketcheson, David I. cc
    Quezada de Luna, Manuel
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Numerical Mathematics Group
    Date
    2015-03-31
    Online Publication Date
    2015-03-31
    Print Publication Date
    2015-01
    Permanent link to this record
    http://hdl.handle.net/10754/550149
    
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    Abstract
    A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. These solitary waves depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior, and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodically varying sound speed. They share some properties with known classes of solitary waves but possess important differences as well.
    Citation
    Diffractons: Solitary Waves Created by Diffraction in Periodic Media 2015, 13 (1):440 Multiscale Modeling & Simulation
    Publisher
    Society for Industrial & Applied Mathematics (SIAM)
    Journal
    Multiscale Modeling & Simulation
    DOI
    10.1137/130946526
    arXiv
    1312.4122
    Additional Links
    http://epubs.siam.org/doi/10.1137/130946526
    ae974a485f413a2113503eed53cd6c53
    10.1137/130946526
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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