Algebro-Geometric Finite-Band Solutions of the Ablowitz-Ladik Hierarchy

DOI10.1093/imrn/rnm082zbMath1137.37033arXivnlin/0611055OpenAlexW2053591389WikidataQ57343916 ScholiaQ57343916MaRDI QIDQ5432679

Johanna Michor, Helge Holden, Gerald Teschl, Friedrich Gesztesy

Publication date: 17 December 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0611055

zbMATH Keywords

integrable equationsfinite gap solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method ⋮ Application of tetragonal curves to coupled Boussinesq equations ⋮ The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices ⋮ Trace formulas and a Borg‐type theorem for CMV operators with matrix‐valued coefficients ⋮ On Baxter's difference systems

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