07-269 Fritz Gesztesy, Helge Holden, Johanna Michor, and Gerald Teschl

Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy (167K, LaTeX2e) Nov 11, 07

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Abstract. We derive a systematic and recursive approach to local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods rely on a recursive approach to the AL hierarchy using Laurent polynomials and on asymptotic expansions of the Green's function of the AL Lax operator, a five-diagonal finite difference operator.

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