Abstract
We consider a nonlocal nonlinear Schrodinger equation recently proposed by Ablowitz and Musslimani as a theoretical model for wave propagation in PT-symmetric coupled wave-guides and photonic crystals. This new equation is integrable by means of inverse scattering method, i. e. it possesses a Lax pair, infinite number of integrals of motion and exact solutions. We aim to describe here some of the basic properties of the nonlocal Schrodinger equation and its scattering operator. In doing this we shall make use of methods alternative to those applied by Ablowitz and Musslimani which seem to be better suited for treating possible multicomponent generalizations.
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