Canonicity of Bäcklund transformation : r - matrix approach .
نویسنده
چکیده
For the Hamiltonian integrable systems governed by SL(2)-invariant r-matrix (such as Heisenberg magnet, Toda lattice, nonlinear Schrödinger equation) a general procedure for constructing Bäcklund transformation is proposed. The corresponding BT is shown to preserve the Poisson bracket. The proof is given by a direct calculation using the r-matrix expression for the Poisson bracket.
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Canonicity of Bäcklund transformation : r - matrix approach . II
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