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Nonclassical Symmetries and Bäcklund Transformations

✍ Scribed by M.C. Nucci


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
220 KB
Volume
178
Category
Article
ISSN
0022-247X

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Bäcklund transformations and loop group
✍ Chuu-Lian Terng; Karen Uhlenbeck 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 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