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math-ph2013★ 9 cited
Parameter-dependent associative Yang-Baxter equations and Poisson brackets
Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov
We discuss associative analogues of classical Yang-Baxter equation meromorphically dependent on parameters. We discover that such equations enter in a description of a general clas…
math-ph2013
A simple construction of integrable Whitham type hierarchies
Alexander Odesskii
A simple construction of Whitham type hierarchies in all genera is suggested. Potentials of these hierarchies are written as integrals of hypergeometric type. Possible generalizati…
math-ph2007
On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities
Alexander Odesskii, Vladimir Sokolov
A certain class of integrable hydrodynamic type systems with three independent and N dependent variables is considered. We choose the existence of a pseudopotential as a criterion…