Orlov-Schulman symmetries of the self-dual conformal structure equations
Exactly Solvable and Integrable Systems
2026-04-22 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We construct Orlov-Schulman symmetries for the self-dual conformal structure (SDCS) hierarchy. We provide an explicit proof of compatibility of additional symmetries with the basic Lax-Sato flows of the hierarchy, and consider several simple examples, including Galilean transformations and scalings. We also present a picture of the Orlov-Schulman symmetries in terms of a dressing scheme based on the Riemann-Hilbert problem.
Keywords
Cite
@article{arxiv.2604.19282,
title = {Orlov-Schulman symmetries of the self-dual conformal structure equations},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:2604.19282},
year = {2026}
}
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16 pages