Symmetry-broken canonizations of the semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site coupling

DOI10.1063/1.4968244zbMath1354.35145OpenAlexW2559030229MaRDI QIDQ2836131

Oleksiy O. Vakhnenko

Publication date: 7 December 2016

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

Full work available at URL: https://doi.org/10.1063/1.4968244

zbMATH Keywords

triangular latticeintegrable nonlinear Schrödinger system

Mathematics Subject Classification ID

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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)

Related Items (4)

Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell ⋮ Nonlinear integrable systems containing the canonical subsystems of distinct physical origins ⋮ Six-component semi-discrete integrable nonlinear Schrödinger system ⋮ Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
• Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Solitons in parametrically driven discrete nonlinear Schrödinger systems with the exploding range of intersite interactions
• Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice
• Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice
• Integrable nonlinear ladder system with background-controlled intersite resonant coupling

This page was built for publication: Symmetry-broken canonizations of the semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site coupling