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arXiv · 0711.1644

Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy

Fritz Gesztesy·Helge Holden·Johanna Michor·Gerald Teschl
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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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Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl. 2007-11-11. Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy. https://doi.org/10.1111/j.1467-9590.2008.00405.x

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