The Orlov-Schulman symmetries of the Manakov-Santini hierarchy
Exactly Solvable and Integrable Systems
2025-09-25 v1 Mathematical Physics
math.MP
Abstract
We construct the Orlov-Schulman symmetries for the Manakov-Santini (MS) hierarchy. We give an explicit proof of compatibility of additional symmetries with the basic flows of the MS hierarchy, and consider several simple examples, including the Galilean transformation and scalings. We also present a picture of the Orlov-Schulman symmetries in terms of the dressing scheme based on the Riemann-Hilbert problem.
Keywords
Cite
@article{arxiv.2509.19923,
title = {The Orlov-Schulman symmetries of the Manakov-Santini hierarchy},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:2509.19923},
year = {2025}
}
Comments
14 pages, accepted for publication in Lobachevskii Journal of Mathematics (https://pleiades.online)