Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
Abstract
We report the existence and properties of localized modes described by nonlinear Schroedinger equation with complex PT-symmetric Rosen-Morse potential well. Exact analytical expressions of the localized modes are found in both one dimensional and two-dimensional geometry with self-focusing and self-defocusing Kerr nonlinearity. Linear stability analysis reveals that these localized modes are unstable for all real values of the potential parameters although corresponding linear Schroedinger eigenvalue problem possesses unbroken PT-symmetry. This result has been verified by the direct numerical simulation of the governing equation. The transverse power flow density associated with these localized modes has also been examined.
Keywords
Cite
@article{arxiv.1304.2105,
title = {Nonlinear localized modes in PT-symmetric Rosen-Morse potential well},
author = {Bikashkali Midya and Rajkumar Roychoudhury},
journal= {arXiv preprint arXiv:1304.2105},
year = {2013}
}
Comments
Accepted for publication in Physical Review A