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Quasigraded deformations of loop algebras and classical integrable systems

✍ Scribed by T. Skrypnyk


Book ID
110407567
Publisher
Springer
Year
2002
Tongue
English
Weight
307 KB
Volume
52
Category
Article
ISSN
0011-4626

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Integrable deformations of the mKdV and
✍ T. Skrypnyk πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 387 KB

We construct a new family of quasigraded Lie algebras that admit the Kostant-Adler scheme. They coincide with special quasigraded deformations of twisted subalgebras of the loop algebras. Using them we obtain new hierarchies of integrable equations in partial derivatives. They coincide with the defo