Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/25794
Title: Soliton resonances in a generalized nonlinear Schrödinger equation
Authors: Pashaev, OK
Lee, JH
Rogers, C
Issue Date: 2008
Publisher: IOP Publishing Ltd
Source: Journal of physics a : mathematical and theoretical, 2008, v. 41, no. 45, 452001 How to cite?
Journal: Journal of Physics A: Mathematical and Theoretical 
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.
URI: http://hdl.handle.net/10397/25794
DOI: 10.1088/1751-8113/41/45/452001
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