3 papers
nlin.SI2026
Orlov-Schulman symmetries of the self-dual conformal structure equations
L. V. Bogdanov
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…
nlin.SI2025
The Orlov-Schulman symmetries of the Manakov-Santini hierarchy
L. V. Bogdanov
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 M…
nlin.SI2025
Differential and other reductions of the self-dual conformal structure equations
L. V. Bogdanov
The dispersionless integrable system we consider here was introduced to the literature rather recently, it is connected with the general local form of self-dual conformal structure…