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Common aspects of -deformed Lie algebras and fractional calculus

✍ Scribed by Richard Herrmann


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
424 KB
Volume
389
Category
Article
ISSN
0378-4371

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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