Bäcklund transformations and loop group
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Chuu-Lian Terng; Karen Uhlenbeck
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Article
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2000
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John Wiley and Sons
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English
⚖ 642 KB
We construct a local action of the group of rational maps from S 2 to GL(n, C) on local solutions of flows of the ZS-AKNS sl(n, C)-hierarchy. We show that the actions of simple elements (linear fractional transformations) give local Bäcklund transformations, and we derive a permutability formula fro