Symbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0311029,
title = {Symbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations},
author = {Willy Hereman and Jan A. Sanders and Jack Sayers and Jing Ping Wang},
journal= {arXiv preprint arXiv:nlin/0311029},
year = {2007}
}
Comments
15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods