Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell

DOI10.1063/1.4994622zbMath1391.82018OpenAlexW2801394472MaRDI QIDQ4565455

Oleksiy O. Vakhnenko

Publication date: 12 June 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4994622

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system ⋮ Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice ⋮ Four-component integrable systems inspired by the Toda and the Davydov-Kyslukha models

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