The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Demskoi, Dmitry K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211419
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System. Dmitry K. Demskoi. SIGMA 17 (2021), 108, 10 pages

We treat the lattice sine-Gordon equation and two of its generalised symmetries as a compatible system. Elimination of shifts from the two symmetries of the lattice sine-Gordon equation yields an integrable NLS-type system. An auto-Bäcklund transformation and a superposition formula for the NLS-type...