A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies

Authors
Publication date 2012
Host editors
  • M.L. Ge
  • C. Bai
  • N. Jing
Book title Quantized Algebra and Physics: Proceedings of the International Workshop on Quantizided Algebra and Physics, Tianjin, China, 23 - 26 July 2009
ISBN
  • 9789814340441
Event International Workshop on Quantized Algebra and Physics (Tianjin, China, 23-26 July 2009)
Pages (from-to) 89-108
Publisher Singapore: World Scientific
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper it is shown under mild assumptions that the local solvability of an infinite dimensional formal Cauchy problem is equivalent to a set of zero curvature relations. The role of this type of Cauchy problems plays in integrable systems is illustrated at the hand of lower triangular Toda hierarchies.
Document type Conference contribution
Language English
Published at https://doi.org/10.1142/9789814340458_0005
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