Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2005-01-24
Nonlinear Sciences
Exactly Solvable and Integrable Systems
14 pages
Scientific paper
10.1063/1.1868373
Simple deformations, with a parameter $\epsilon$, of classical $R$-matrices
which follow from decomposition of appropriate Lie algebras, are considered. As
a result nonstandard Lax representations for some well known integrable systems
are presented as well as new integrable evolution equations are constructed.
Blaszak Maciej
Szablikowski Blazej M.
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