KdV Flow on Generalized Reflectionless Potentials

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2008
• Main Author: Kotani, S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106520
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: KdV Flow on Generalized Reflectionless Potentials / S. Kotani // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 490-528. — Бібліогр.: 16 назв. — англ.

The purpose of this article is to construct KdV fow on a space of generalized reflectionless potentials by applying Sato's Grassmannian approach The point is that the base space contains not only rapidly decreasing potentials but also oscillating ones such as periodic ones, which makes it poss...