# General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system.

@article{Xu2019GeneralSS,
title={General stationary solutions of the nonlocal nonlinear Schr{\"o}dinger equation and their relevance to the PT-symmetric system.},
author={Tao Xu and Yang Chen and Min Li and De-Xin Meng},
journal={Chaos},
year={2019},
volume={29 12},
pages={
123124
}
}
• Published 26 June 2019
• Mathematics
• Chaos
With the stationary solution assumption, we establish the connection between the nonlocal nonlinear Schrödinger (NNLS) equation and an elliptic equation. Then, we obtain the general stationary solutions and discuss the relevance of their smoothness and boundedness to some integral constants. Those solutions, which cover the known results in the literature, include the unbounded Jacobi elliptic-function and hyperbolic-function solutions, the bounded sn-, cn-, and dn-function solutions, as well…
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