2000/04/12 by L. Martina, Stéphane Lafortune, S. Lafortune +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.1088/0305-4470/33/36/311
published as J.Phys.A33:6431-6446,2000 · 26 pages, no figures
arxiv created 2000/04/12 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generalized Toda lattices, on one hand, and to periodic systems, on the other. Boundary conditions are introduced to reduce theories on an infinite lattice to those on semi-infinite or finite ones.