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April 2004 Vanishing residue characterization of the sine-Gordon hierarchy
François Treves
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Ark. Mat. 42(1): 173-203 (April 2004). DOI: 10.1007/BF02432915

Abstract

The sine(hyperbolic)-Gordon hierarchy is shown to be the extension of the modified Korteweg-de Vries (MKdV) hierarchy in the integrodifferential algebra extending the standard differential algebra by means of one antiderivative. The characterization by vanishing residues of the MKdV hierarchy yields the same characterization of the sine(hyperbolic)-Gordon hierarchy in the integrodifferential algebra.

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François Treves. "Vanishing residue characterization of the sine-Gordon hierarchy." Ark. Mat. 42 (1) 173 - 203, April 2004. https://doi.org/10.1007/BF02432915

Information

Received: 16 September 2002; Published: April 2004
First available in Project Euclid: 31 January 2017

zbMATH: 1060.37060
MathSciNet: MR2056550
Digital Object Identifier: 10.1007/BF02432915

Rights: 2004 © Institut Mittag-Leffer

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Vol.42 • No. 1 • April 2004
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