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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 |
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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