A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies
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| Publication date | 2012 |
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| Book title | Quantized Algebra and Physics: Proceedings of the International Workshop on Quantizided Algebra and Physics, Tianjin, China, 23 - 26 July 2009 |
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| Event | International Workshop on Quantized Algebra and Physics (Tianjin, China, 23-26 July 2009) |
| Pages (from-to) | 89-108 |
| Publisher | Singapore: World Scientific |
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| 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
(Final published version)
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