Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Bogdanov, L. V.
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083511167
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