2003/11/16 by Willy Hereman, Jan A. Sanders, Hereman, Willy +5
Mathematics · #Differential Equations and Numerical Methods #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.nlin/0311029
openalex publication_date 2003/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Algorithms for the symbolic computation of conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the Frechet and variational derivatives, as well as discrete Euler and homotopy operators. The algorithms are illustrated for prototypical nonlinear lattices, including the Kac-van Moerbeke (Volterra) and Toda lattices. Results are shown for the modified Volterra and Ablowitz-Ladik lattices.