2007/11/11 by Fritz Gesztesy, Helge Holden, Johanna Michor +1
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1111/j.1467-9590.2008.00405.x
published as Stud. Appl. Math. 120-4, 361-423 (2008) · 49 pages
arxiv created 2007/11/11 · openalex publication_date 2008/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.