Advanced Search
Home > Journals > Duke Math. J. > Volume 108 > Issue 2 > Article
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

Download Citation

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

ACCESS THE FULL ARTICLE
PERSONAL SIGN IN
Full access may be available with your subscription
 
Forgot your password?
No Project Euclid account? Create an account
or Sign in with your institutional credentials
PURCHASE THIS CONTENT
PURCHASE SINGLE ARTICLE
This article is only available to subscribers.
It is not available for individual sale.
JOURNAL ARTICLE
 44 PAGES
This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Next Article >
Vol.108 • No. 2 • 1 June 2001
Duke University Press
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top