The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme

• Published in: Нелінійні коливання
• Date: 2017
• Main Authors: Prykarpatsky, A.K., Cieśliński, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177304
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme / A.K. Prykarpatsky, J. Cieśliński // Нелінійні коливання. — 2017. — Т. 20, № 2. — С. 228-266 — Бібліогр.: 61 назв. — англ.

We investigate discretizations of the integrable nonlinear Schrodinger dynamical system, well known as the ¨ Ablowitz – Ladik equation, the related symplectic structures and its finite dimensional invariant reductions. An effective scheme of invariant reducing the corresponding infinite system of or...