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Special Quasigraded Lie Algebras and Integrable Hamiltonian Systems

โœ Scribed by T. Skrypnyk


Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
509 KB
Volume
99
Category
Article
ISSN
0167-8019

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Integrable deformations of the mKdV and
โœ T. Skrypnyk ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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