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Appl. Sci. 2017, 7(3), 223;

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

Department of Mathematics, Computer & Information Science, State University of New York (SUNY) College at Old Westbury, Westbury, NY 11568, USA
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)
Full-Text   |   PDF [642 KB, uploaded 2 March 2017]   |  


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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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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