An integrable discretization of the rational su(2) Gaudin model and related systems

Details An integrable discretization of the rational su(2) Gaudin model and related systems An integrable discretization of the rational su(2) Gaudin model and related systems

2007-07-27

arxiv.org/abs/0707.4088v1

Commun. Math. Phys., 2008, 283, p. 227-253.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

26 pages, 5 figures

Scientific paper

10.1007/s00220-008-0512-7

The first part of the present paper is devoted to a systematic construction of continuous-time finite-dimensional integrable systems arising from the rational su(2) Gaudin model through certain contraction procedures. In the second part, we derive an explicit integrable Poisson map discretizing a particular Hamiltonian flow of the rational su(2) Gaudin model. Then, the contraction procedures enable us to construct explicit integrable discretizations of the continuous systems derived in the first part of the paper.

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