# Nonlinear Stationary States in PT-Symmetric Lattices

@article{Kevrekidis2013NonlinearSS,
title={Nonlinear Stationary States in PT-Symmetric Lattices},
author={Panayotis G. Kevrekidis and Dmitry E. Pelinovsky and Dmitry Tyugin},
journal={SIAM J. Appl. Dyn. Syst.},
year={2013},
volume={12},
pages={1210-1236}
}
• Published 13 March 2013
• Mathematics
• SIAM J. Appl. Dyn. Syst.
In the present work we examine both the linear and nonlinear properties of two related parity-time (PT)-symmetric systems of the discrete nonlinear Schrodinger (dNLS) type. First, we examine the parameter range for which the finite PT-dNLS chains have real eigenvalues and PT-symmetric linear eigenstates. We develop a systematic way of analyzing the nonlinear stationary states with the implicit function theorem. Second, we consider the case when a finite PT-dNLS chain is embedded as a defect in…

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