no. 6
Proof of the Treves theorem on the KdV hierarchy
[Preuve du théorème de Treves pour la hiérarchie KdV]
Dickey, Leonid1
1 University of Oklahoma, department of mathematics, physical science center, 601 Elm Avenue, Norman, Oklahoma 73019 (USA)
Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2015-2023.

Une nouvelle et plus courte démonstration du théorème de Treves sur un critère algébrique pour les premières intégrales de la hiérarchie KdV est donnée, ainsi qu'une addition au théorème.

A new, shorter, proof of the Treves theorem on an algebraic criterion for the first integrals of the KdV hierarchy is given, along with an addition to the theorem.

DOI : 10.5802/aif.2149
Classification : 35Q53
Keywords: KdV, first integrals, Treves
Mot clés : KdV, premières intégrales, Treves

Dickey, Leonid 1

1 University of Oklahoma, department of mathematics, physical science center, 601 Elm Avenue, Norman, Oklahoma 73019 (USA) 
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Dickey, Leonid. Proof of the Treves theorem on the KdV hierarchy. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2015-2023. doi : 10.5802/aif.2149. https://aif.centre-mersenne.org/articles/10.5802/aif.2149/

[1] F. Treves An algebraic characterization of the Korteweg - de Vries hierarchy., Duke Math. J., Volume 108 (2001) no. 2, pp. 251-294 | DOI | MR | Zbl

[2] L. A. Dickey On a generalization of the Treves criterion for the first integrals of the KdV hierarchy to higher GD hierarchies., Lett. Math. Phys., Volume 65 (2003), pp. 187-197 | DOI | MR | Zbl

[3] L. A. Dickey Soliton Equations and Hamiltonian Systems, 2nd Ed., Advanced Series in Mathematical Physics, 26, World Scientific, 2003 | MR | Zbl

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