Construction of KdV Flow I. τ-Function via Weyl Function

• Date: 2018
• Main Author: Kotani, Shinichi
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2018
• Subjects: рiвняння КдФ; теорiя Сато; оператор Шредiнгера.
• Online Access: https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm14-0297e
• Journal Title: Journal of Mathematical Physics, Analysis, Geometry

Sato introduced the τ-function to describe solutions to a wide class of completely integrable differential equations. Later Segal–Wilson represented it in terms of the relevant integral operators on Hardy space of the unit disc. This paper gives another representation of the τ -functions by the Weyl...