# Proof of the Treves theorem on the KdV hierarchy

Leonid Dickey^{[1]}

- [1] University of Oklahoma, department of mathematics, physical science center, 601 Elm Avenue, Norman, Oklahoma 73019 (USA)

Annales de l’institut Fourier (2005)

- Volume: 55, Issue: 6, page 2015-2023
- ISSN: 0373-0956

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top## How to cite

topDickey, Leonid. "Proof of the Treves theorem on the KdV hierarchy." Annales de l’institut Fourier 55.6 (2005): 2015-2023. <http://eudml.org/doc/116241>.

@article{Dickey2005,

abstract = {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.},

affiliation = {University of Oklahoma, department of mathematics, physical science center, 601 Elm Avenue, Norman, Oklahoma 73019 (USA)},

author = {Dickey, Leonid},

journal = {Annales de l’institut Fourier},

keywords = {KdV; first integrals; Treves; Treves' criterion},

language = {eng},

number = {6},

pages = {2015-2023},

publisher = {Association des Annales de l'Institut Fourier},

title = {Proof of the Treves theorem on the KdV hierarchy},

url = {http://eudml.org/doc/116241},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Dickey, Leonid

TI - Proof of the Treves theorem on the KdV hierarchy

JO - Annales de l’institut Fourier

PY - 2005

PB - Association des Annales de l'Institut Fourier

VL - 55

IS - 6

SP - 2015

EP - 2023

AB - 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.

LA - eng

KW - KdV; first integrals; Treves; Treves' criterion

UR - http://eudml.org/doc/116241

ER -

## References

top- F. Treves, An algebraic characterization of the Korteweg - de Vries hierarchy., Duke Math. J. 108 (2001), 251-294 Zbl1028.37040MR1833392
- 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. 65 (2003), 187-197 Zbl1042.37050MR2033705
- L. A. Dickey, Soliton Equations and Hamiltonian Systems, 2nd Ed., 26 (2003), World Scientific Zbl1140.35012MR1964513

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