Zakharov-Shabat System with Constant Boundary Conditions. Reflectionless Potentials and End Point Singularities

Tihomir Valchev, Rossen Ivanov, Vladimir Gerdjikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.
Original languageEnglish
Title of host publicationIntegrability, Recursion Operators and Soliton Interactions
Pages301-324
DOIs
Publication statusPublished - 2014

Publication series

NameIntegrability, Recursion Operators and Soliton Interactions

Keywords

  • scalar defocusing nonlinear Schroedinger equation
  • constant boundary conditions
  • integrability
  • classical evolution equation
  • direct and inverse scattering problem
  • dressing method

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