This item is available under a Creative Commons License for non-commercial use only
We consider scalar defocusing nonlinear Schroedinger equation with constant boundary conditions. We aim here to provide a self contained pedagogical exposition of the most important facts regarding integrability of that classical evolution equation. It comprises the following topics: direct and inverse scattering problem and the dressing method.
Valchev, T., Ivanov, R. and Gerdjikov, V.; Zakharov-Shabat system with constant boundary conditions. Reflectionless potentials and end point singularities. In: B. Aneva et al, (eds), “Integrability, Recursion Operators and Soliton Interactions”, Avangard Prima, Sofia (2014) pp. 301-324.