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Unresolved problems in the theory of integrable systems

De Vladimir Zakharov

Apparaît dans la collection : French-American conference on nonlinear dispersive PDEs / Conférence franco-américaine sur les EDP dispersives non linéaires

In spite of enormous success of the theory of integrable systems, at least three important problems are not resolved yet or are resolved only partly. They are the following: 1. The IST in the case of arbitrary bounded initial data. 2. The statistical description of the systems integrable by the IST. Albeit, the development of the theory of integrable turbulence. 3. Integrability of the deep water equations. These three problems will be discussed in the talk.

Informations sur la vidéo

Date de captation 14/06/2017
Date de publication 22/06/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19182503
Citer cette vidéo Zakharov, Vladimir (14/06/2017). Unresolved problems in the theory of integrable systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19182503
URL https://dx.doi.org/10.24350/CIRM.V.19182503

Domaine(s)

Physique mathématique

Bibliographie

Dyachenko, S.A., Zakharov, D.V., & Zakharov, V.E. (2016). Primitive potentials and bounded solutions of the KdV equation. Physica D, 333, 148-156 - https://doi.org/10.1016/j.physd.2016.04.002
Zakharov, D.V., & Zakharov, V.E., & Dyachenko, S.A. (2016). Non-periodic one-dimensional ideal conductors and integrable turbulence. Physical Letters A, 380(46), 3881-3885 - https://doi.org/10.1016/j.physleta.2016.09.040
Zakharov, D.V., Dyachenko, S.A., & Zakharov, V.E. (2016). Bounded solutions of KdV and non periodic one-gap potentials in quantum mechanics. Letters in Mathematical Physics, 106(6). 731-740 - http://dx.doi.org/10.1007/s11005-016-0838-6

Codes MSC

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