𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New extended Lie algebra and the generalized integrable Liouville hierarchy

✍ Scribed by Weidong Zhao; Huanhe Dong; Hui Wang


Book ID
113439608
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
190 KB
Volume
218
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Lie algebras and Lie super algebra for t
✍ Huan-he Dong; xinzeng wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 197 KB

a b s t r a c t Lie algebras and Lie super algebra are constructed and integrable couplings of NLS-MKdV hierarchy are obtained. Furthermore, its Hamiltonian and Super-Hamiltonian are presented by using of quadric-form identity and super-trace identity. The method can be used to produce the Hamiltoni

A few Lie algebras and their application
✍ Yufeng Zhang; Binlu Feng πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 333 KB

A Lie algebra consisting of 3 Γ‚ 3 matrices is introduced, whose induced Lie algebra by using an inverted linear transformation is obtained as well. As for application examples, we obtain a unified integrable model of the integrable couplings of the AKNS hierarchy, the D-AKNS hierarchy and the TD hie

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