Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
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.
DOI
https://doi.org/10.21427/xtej-a952
Recommended Citation
Valchev, T., Ivanov, R. & Gerdjikov, V. (2014). Zakharov-Shabat system with constant boundary conditions. Reflectionless potentials and end point singularities. Integrability, Recursion Operators and Soliton Interactions,, Avangard Prima, Sofia. pg. 301-324. doi:10.21427/xtej-a952
Funder
Irish Research Council
Publication Details
The present paper is published in “Integrability, Recursion Operators and Soliton Interactions”, Proc. of Int. Conference "Integrability, Recursion Operators and Soliton Interactions" on the occasion of Vladimir Gerdjikov’s 65th birthday, 29 - 31 August 2012, Sofia, Bulgaria, Eds.: B. Aneva, G. Grahovski, R. Ivanov and D. Mladenov, Avangard Prima, Sofia, Bulgaria, 2014, 301-324.