Negative flows for several integrable models
Abstract
A construction of negative flows for integrable systems based on the Lax representation and squared eigenfunctions is proposed. Examples considered include the Boussinesq equation and its reduction to the Sawada–Kotera and Kaup–Kupershmidt equations; one of the Drinfeld–Sokolov systems and its reduction to the Krichever–Novikov equation.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 February 2024
 DOI:
 10.1063/5.0181692
 arXiv:
 arXiv:2310.11549
 Bibcode:
 2024JMP....65b3502A
 Keywords:

 ARTICLES;
 Methods of Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics
 EPrint:
 15 pages