Vanishing residue characterization of the sine-Gordon hierarchy

François Treves Mathematics Department, Rutgers University

TBD mathscidoc:1701.333029

Arkiv for Matematik, 42, (1), 173-203, 2002.9
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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@inproceedings{françois2002vanishing,
  title={Vanishing residue characterization of the sine-Gordon hierarchy},
  author={François Treves},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203610720655838},
  booktitle={Arkiv for Matematik},
  volume={42},
  number={1},
  pages={173-203},
  year={2002},
}
François Treves. Vanishing residue characterization of the sine-Gordon hierarchy. 2002. Vol. 42. In Arkiv for Matematik. pp.173-203. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203610720655838.
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