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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 4, Pages 490–528
(Mi jmag110)
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This article is cited in 16 scientific papers (total 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.
Received: 14.04.2008
Citation:
S. Kotani, “Kdv flow on generalized reflectionless potentials”, Zh. Mat. Fiz. Anal. Geom., 4:4 (2008), 490–528
Linking options:
https://www.mathnet.ru/eng/jmag110 https://www.mathnet.ru/eng/jmag/v4/i4/p490
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Abstract page: | 336 | Full-text PDF : | 109 | References: | 43 |
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