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

Authors

Jennie D’Ambroise, State University of New York (SUNY) College at Old Westbury
Panayotis G. Kevrekidis, University of Massachusetts Amherst

Publication Date

2017

Journal or Book Title

Applied Sciences

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.

DOI

https://doi.org/10.3390/app7030223

Volume

7

Special Issue

Guided-Wave Optics

Issue

3

License

UMass Amherst Open Access Policy

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

D’Ambroise, Jennie and Kevrekidis, Panayotis G., "Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential" (2017). Applied Sciences. 1297.
https://doi.org/10.3390/app7030223