Abstract
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various connections between them are investigated. These brackets may also be obtained by using r-matrices.
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Damianou, P.A. Master symmetries and R-matrices for the Toda lattice. Lett Math Phys 20, 101–112 (1990). https://doi.org/10.1007/BF00398275
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DOI: https://doi.org/10.1007/BF00398275