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Appl. Sci. 2017, 7(3), 223; doi:10.3390/app7030223

Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential

1
Department of Mathematics, Computer & Information Science, State University of New York (SUNY) College at Old Westbury, Westbury, NY 11568, USA
2
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA
*
Author to whom correspondence should be addressed.
Academic Editors: Boris Malomed and Paolo Minzioni
Received: 3 January 2017 / Accepted: 21 February 2017 / Published: 27 February 2017
(This article belongs to the Special Issue Guided-Wave Optics)
View Full-Text   |   Download PDF [642 KB, uploaded 2 March 2017]   |  

Abstract

It is known that multidimensional complex potentials obeying parity-time(PT)symmetry may possess all real spectra and continuous families of solitons. Recently, it was shown that for multi-dimensional systems, these features can persist when the parity symmetry condition is relaxed so that the potential is invariant under reflection in only a single spatial direction. We examine the existence, stability and dynamical properties of localized modes within the cubic nonlinear Schrödinger equation in such a scenario of partiallyPT-symmetric potential. View Full-Text
Keywords: nonlinear optics; solitons;PT-symmetry nonlinear optics; solitons;PT-symmetry
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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D’Ambroise, J.; Kevrekidis, P.G. Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential. Appl. Sci. 2017, 7, 223.

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