An algebraic characterization of the Korteweg-de Vries hierarchy

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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

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Abstract

The conserved polynomials of the Korteweg‒de Vries equation u_t=u_xxx−12uu_x 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+ Σ_n≥2uⁿxⁿ.

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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

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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

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Duke Math. J.

Vol.108 • No. 2 • 1 June 2001

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François Treves "An algebraic characterization of the Korteweg-de Vries hierarchy," Duke Mathematical Journal, Duke Math. J. 108(2), 251-294, (1 June 2001)

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