This paper shows that the Ablowitz-Ladik hierarchy of equations (a well-known integrable discretization of the Non-linear Schrodinger system) can be explicitly viewed as a hierarchy of commuting flows which: (a) are Hamiltonian with respect to both a standard, local Poisson operator J and a new non-local, skew, almost Poisson operator... Show more

April 17, 2005

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A Bi-Hamiltonian Structure for the Integrable, Discrete Non-Linear Schrodinger System

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