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

Abstract

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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.

How to cite

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Dickey, 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

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

NotesEmbed ?

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