1993/07/24 by H. Aratyn, L. A. Ferreira, J. F. Gomes +2
Chemistry · Mathematics · Physics and Astronomy · #Boson #Discrete symmetry #Geometry #Hamiltonian (control theory) #Hierarchy #Homogeneous space #Integrable system #Lattice (music) #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Symmetry (geometry) #Toda lattice #Volterra equations #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1016/0370-2693(93)90662-2
published as Phys.Lett. B316 (1993) 85-92 · 12 pgs, LaTeX, IFT-P.041/93
arxiv created 1993/07/24 · openalex publication_date 1993/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamiltonian structure of the continuum models. The two-boson currents of KP hierarchy are being associated with sites of the corresponding chain by successive actions of discrete symmetry.