Some New Nonlinear Differential-Difference Integrable Hierarchies

DOI10.1143/JPSJ.67.3393zbMath0947.37045OpenAlexW2090363674MaRDI QIDQ4491470

Hong-ci Huang, Zuo-nong Zhu

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.67.3393

zbMATH Keywords

Toda latticediscrete spectral problemAblowitz-Ladik discretization of the NLS equationdifferential-difference integrable hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Lattice dynamics; integrable lattice equations (37K60)

Related Items (7)

Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions ⋮ Darboux transformation of a coupled lattice soliton equation ⋮ A hierarchy of Liouville integrable discrete Hamiltonian equations ⋮ A 2-PARAMETER HIERARCHY OF INTEGRABLE LATTICE EQUATIONS ⋮ DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION ⋮ An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family ⋮ A generalized Ablowitz–Ladik hierarchy, multi-Hamiltonian structure and Darboux transformation

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