Construction of Toda flow via Sato-Segal-Wilson theory
Shuo Zhang, Shinichi Kotani, Jiahao Xu
TL;DR
This paper constructs a Toda flow on bounded initial data using Sato-Segal-Wilson theory, describing it via Weyl functions of Jacobi operators, extending previous work on KdV flow.
Contribution
It introduces a new construction of Toda flow through Sato-Segal-Wilson theory, linking it to Weyl functions of Jacobi operators.
Findings
Flow constructed on bounded initial data
Described via Weyl functions of Jacobi operators
Extends previous KdV flow work
Abstract
A Toda flow is constructed on a space of bounded initial data through Sato-Segal-Wilson theory. The flow is described by the Weyl functions of the underlying Jacobi operators. This is a continuation of the previous work on the KdV flow.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Fluid Dynamics and Vibration Analysis