Fritz Gesztesy, Helge Holden, Johanna Michor, and Gerald Teschl
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
(167K, LaTeX2e)

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.