The Sato Grassmannian and the CH hierarchy
G. Falqui, G. Ortenzi
TL;DR
This paper explores the geometric framework of the Sato Grassmannian to understand the structure of the Camassa-Holm hierarchy, linking integrable systems with algebraic geometry.
Contribution
It introduces a novel geometric perspective on the CH hierarchy by embedding it into the Sato Grassmannian framework.
Findings
Establishes a geometric interpretation of the CH hierarchy
Connects integrable systems with algebraic geometry structures
Provides new tools for analyzing the CH hierarchy
Abstract
We discuss how the Camassa-Holm hierarchy can be framed within the geometry of the Sato Grassmannian.
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