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    • Decomposing the Toda Hierarchy by an Implicit Symmetry Constraint

    Xi-Xiang Xu,Min Guo,Ning Zhang

    Modern Physics Letters B（2019）

    Shandong Univ Sci & Technol

    Cited 0|Views4
    Abstract
    An implicit symmetry constraint of the famous Toda lattice hierarchy is presented. Using this symmetry constraint, every lattice equation in the Toda hierarchy is decomposed by an integrable symplectic map and a completely integrable finite-dimensional Hamiltonian system.
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    Key words
    Toda lattice hierarchy,discrete zero curvature representation,implicit symmetry constraint,integrable symplectic map,integrable finite-dimensional Hamiltonian system
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