Vanishing residue characterization of the sine-Gordon hierarchy

François Treves

doi:10.1007/BF02432915

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Home > Journals > Ark. Mat. > Volume 42 > Issue 1 > Article

April 2004 Vanishing residue characterization of the sine-Gordon hierarchy

François Treves

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François Treves¹
¹Mathematics Department, Rutgers University

Ark. Mat. 42(1): 173-203 (April 2004). DOI: 10.1007/BF02432915

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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