On the heat kernel and the Korteweg--de Vries hierarchy

Plamen Iliev[1]

  • [1] Georgia Institute of Technology, school of mathematics, Atlanta GA 30332-0160 (USA)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 6, page 2117-2127
  • ISSN: 0373-0956

Abstract

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We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the Korteweg-de Vries hierarchy. We show that some of the basic properties of these coefficients can be easily derived from these formulas.

How to cite

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Iliev, Plamen. "On the heat kernel and the Korteweg--de Vries hierarchy." Annales de l’institut Fourier 55.6 (2005): 2117-2127. <http://eudml.org/doc/116246>.

@article{Iliev2005,
abstract = {We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the Korteweg-de Vries hierarchy. We show that some of the basic properties of these coefficients can be easily derived from these formulas.},
affiliation = {Georgia Institute of Technology, school of mathematics, Atlanta GA 30332-0160 (USA)},
author = {Iliev, Plamen},
journal = {Annales de l’institut Fourier},
keywords = {Heat kernel expansions; KdV hierarchy; tau functions; heat kernel expansions},
language = {eng},
number = {6},
pages = {2117-2127},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the heat kernel and the Korteweg--de Vries hierarchy},
url = {http://eudml.org/doc/116246},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Iliev, Plamen
TI - On the heat kernel and the Korteweg--de Vries hierarchy
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 6
SP - 2117
EP - 2127
AB - We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the Korteweg-de Vries hierarchy. We show that some of the basic properties of these coefficients can be easily derived from these formulas.
LA - eng
KW - Heat kernel expansions; KdV hierarchy; tau functions; heat kernel expansions
UR - http://eudml.org/doc/116246
ER -

References

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