Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Institution Author: search.filters.institutionAuthor.Pashaev, Oktay K.Subject: search.filters.subject.Nonlinear equations

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  • Article
    Citation - WoS: 13
    Citation - Scopus: 14
    On a 2+1-Dimensional Whitham-Broer System: a Resonant Nls Connection
    (John Wiley and Sons Inc., 2011) Rogers, Colin; Pashaev, Oktay
    It is established that the Whitham-Broer-Kaup shallow water system and the "resonant" nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1-dimensional version of the Whitham-Broer-Kaup system is constructed which, in turn, is equivalent to a recently introduced resonant Davey-Stewartson I system incorporating a Madelung-Bohm type quantum potential. A bilinear representation is adopted and resonant solitonic interaction in this new 2+1-dimensional Kaup-Broer system is exhibited.