1 June 2001 An algebraic characterization of the Korteweg-de Vries hierarchy
François Treves
Duke Math. J. 108(2): 251-294 (1 June 2001). DOI: 10.1215/S0012-7094-01-10823-5

Abstract

The conserved polynomials of the Korteweg‒de Vries equation ut=uxxx−12uux are characterized by the vanishing of the residues of their associated differential polynomials evaluated on the formal power series of the kind u=x−2+u0+ Σn≥2unxn.

Citation

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François Treves. "An algebraic characterization of the Korteweg-de Vries hierarchy." Duke Math. J. 108 (2) 251 - 294, 1 June 2001. https://doi.org/10.1215/S0012-7094-01-10823-5

Information

Published: 1 June 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1028.37040
MathSciNet: MR1833392
Digital Object Identifier: 10.1215/S0012-7094-01-10823-5

Subjects:
Primary: 37K10
Secondary: 35Q53

Rights: Copyright © 2001 Duke University Press

Vol.108 • No. 2 • 1 June 2001
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