On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity
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We propose a Hamiltonian formalism for N periodic dressing chain with the even number N. The formalism is based on Dirac reduction applied to the N + 1 periodic dressing chain with the odd number N +1 for which the Hamiltonian formalism is well known. The Hamilton dressing chain equations in the N even case depend explicitly on a pair of conjugated Dirac constraints and are equivalent to A(1)N−1 invariant symmetric Painlevé equations.
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Exactly Solvable and Integrable Systems, Mathematical Physics, Nonlinear Sciences
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Inglês
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Open Communications in Nonlinear Mathematical Physics, v. 2, p. 106-121.
