Symbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations

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dc.creatorHereman, Willy
dc.creatorSanders, Jan A.
dc.creatorSayers, Jack
dc.creatorWang, Jing Ping
dc.date2003-11-16
dc.date.accessioned2026-07-07T06:32:38Z
dc.date.available2026-07-07T06:32:38Z
dc.descriptionAlgorithms 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.
dc.description15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods
dc.identifierhttps://arxiv.org/abs/nlin/0311029
dc.identifierhttp://arxiv.org/abs/nlin/0311029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98958
dc.subjectExactly Solvable and Integrable Systems
dc.titleSymbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations
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