- 07-269 Fritz Gesztesy, Helge Holden, Johanna Michor, and Gerald Teschl
- Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
Nov 11, 07
(auto. generated ps),
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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.