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

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...

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Bibliographic Details
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
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm14-0297e
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry