Scholarlink

Abstract <p>We construct the Orlov–Schulman symmetries for the Manakov–Santini (MS) hierarchy. We give an explicit proof of the 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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Orlov–Schulman Symmetries of the Manakov–Santini Hierarchy

  • 期刊论文

  • 发表日期：

    2025年11月1日

查看全文
  • L. V. Bogdanov

摘要

Abstract

We construct the Orlov–Schulman symmetries for the Manakov–Santini (MS) hierarchy. We give an explicit proof of the 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.