On the Fourth-Order Lattice Gel'fand-Dikii Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Authors: Tela, Guesh Yfter, Zhao, Song-Lin, Zhang, Da-Jun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211877
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Fourth-Order Lattice Gel'fand-Dikii Equations. Guesh Yfter Tela, Song-Lin Zhao and Da-Jun Zhang. SIGMA 19 (2023), 007, 30 pages

The fourth-order lattice Gel'fand-Dikii equations in quadrilateral form are investigated. Utilizing the direct linearization approach, we present some equations of the extended lattice Gel'fand-Dikii type. These equations are related to a quartic discrete dispersion relation and can be vie...