Liouville Correspondences between Integrable Hierarchies

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Kang, J., Liu, X., Olver, P.J., Qu, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148632
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Liouville Correspondences between Integrable Hierarchies / J. Kang, X. Liu, P.J. Olver, C. Qu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 64 назв. — англ.

In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equati...