Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4988
Title: On a 2+1-dimensional Whitham-Broer-Kaup system: A resonant NLS connection
Authors: Rogers, Colin
Pashaev, Oktay K.
Keywords: NLS connection
Schrödinger equation
Nonlinear equations
Capillarity model
Resonant
Issue Date: Aug-2011
Publisher: John Wiley and Sons Inc.
Source: Rogers, C., and Pashaev, O. (2011). On a 2+1-dimensional Whitham-Broer-Kaup system: A resonant NLS connection. Studies in Applied Mathematics, 127(2), 141-152. doi:10.1111/j.1467-9590.2010.00514.x
Abstract: 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.
URI: http://doi.org/10.1111/j.1467-9590.2010.00514.x
http://hdl.handle.net/11147/4988
ISSN: 0022-2526
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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