This article is cited in 16 papers

Kdv flow on generalized reflectionless potentials

S. Kotani

Kwansei Gakuen University School of Science and Technology Hyogo, 2-1 Gakuen, Sanda-shi, Hyogo 669-1337, Japan

Abstract: The purpose of this article is to construct KdV flow 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 possible for us to discuss the shift invariant probability measures on it.

Key words and phrases: Korteweg de Vries equation, inverse spectral methods, reflectionless potentials.

MSC: 35Q53, 37K15

Received: 14.04.2008

Language: English

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