Negative flows for several integrable models
arXiv:2310.11549 · doi:10.1063/5.0181692
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.
15 pages