Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials

摘要

We report localized nonlinear modes of the self-focusing and defocusingnonlocal nonlinear Schroedinger equation with the generalized PT-symmetricScarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presentedfor broken and unbroken PT-symmetric phases of linear bounded states and thelinear stability of the obtained solitons. Moreover, we numerically explore thedynamical behaviors of solitons and find stable solitons for some givenparameters.