A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies

DOI10.1007/s10773-008-9773-3zbMath1161.81359OpenAlexW2147004893MaRDI QIDQ1013724

Zonghang Yang, En-gui Fan

Publication date: 21 April 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-008-9773-3

zbMATH Keywords

spectral problemAblowitz-Ladik hierarchyVolterra hierarchymulti-Hamiltonian structurenonlinear lattice hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (14)

Applications of a few Lie algebras ⋮ Generating integrable lattice hierarchies by some matrix and operator Lie algebras ⋮ Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions ⋮ New applications of a kind of infinitesimal-operator Lie algebra ⋮ A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution ⋮ New hierarchies of integrable lattice equations and associated properties: Darboux transformation, conservation laws and integrable coupling ⋮ A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r -Matrix Method ⋮ Fermions tunnelling from 5D general rotating charged Gödel black hole ⋮ An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws ⋮ The periodic wave solutions of the Wadati lattice equation ⋮ Infinite Conservation Laws, Continuous Symmetries and Invariant Solutions of Some Discrete Integrable Equations ⋮ A lattice hierarchy and its continuous limits ⋮ INTEGRABLE COUPLING SYSTEMS OF HAMILTONIAN LATTICE EQUATIONS BY SEMI-DIRECT SUMS OF LIE ALGEBRAS ⋮ Symmetry Constraint of the Differential-difference KP Hierarchy and a Second Discretization of the ZS-AKNS System

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