Initial Value Problems for Integrable Systems on a Semi-Strip

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Sakhnovich, A.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147424
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ.

Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation wi...