Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2142
Title: Soliton resonances in a generalized nonlinear Schrödinger equation
Authors: Pashaev, Oktay
Lee, Jyh Hao
Rogers, Colin
Keywords: Schrödinger equation
Black holes
Space-time
Issue Date: 14-Nov-2008
Publisher: IOP Publishing Ltd.
Source: Pashaev, O., Lee, J. H., and Rogers, C. (2008). Soliton resonances in a generalized nonlinear Schrödinger equation. Journal of Physics A: Mathematical and Theoretical, 41(45). doi: 10.1088/1751-8113/41/45/452001
Abstract: It is shown that a generalized nonlinear Schrödinger equation proposed by Malomed and Stenflo admits, for a specific range of parameters, resonant soliton interaction. The equation is transformed to the 'resonant' nonlinear Schrödinger equation, as originally introduced to describe black holes in a Madelung fluid and recently derived in the context of uniaxial wave propagation in a cold collisionless plasma. A Hirota bilinear representation is obtained and soliton solutions are thereby derived. The one-soliton solution interpretation in terms of a black hole in two-dimensional spacetime is given. For the two-soliton solution, resonant interactions of several kinds are found. The addition of a quantum potential term is considered and the reduction is obtained to the resonant NLS equation. © 2008 IOP Publishing Ltd.
URI: http://doi.org/10.1088/1751-8113/41/45/452001
http://hdl.handle.net/11147/2142
ISSN: 1751-8113
1751-8113
1751-8121
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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