Negative Times of the Davey-Stewartson Integrable Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Author: Pogrebkov, Andrei K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211436
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Negative Times of the Davey-Stewartson Integrable Hierarchy. Andrei K. Pogrebkov. SIGMA 17 (2021), 091, 12 pages

We use the example of the Davey-Stewartson hierarchy to show that, in addition to the standard equations given by the Lax operator and evolutions of time with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and int...