Negative flows for several integrable models
Exactly Solvable and Integrable Systems
2024-12-06 v1 Mathematical Physics
math.MP
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.
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Cite
@article{arxiv.2310.11549,
title = {Negative flows for several integrable models},
author = {V. E. Adler},
journal= {arXiv preprint arXiv:2310.11549},
year = {2024}
}
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15 pages