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

Hereman, Willy and Sanders, Jan A. and Sayers, Jack and Wang, Jing Ping (2005) Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations. In: Group Theory and Numerical Analysis. Amer. Math. Soc., pp. 133-148. ISBN 0-8218-3565-3.

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Abstract

Algorithms for the symbolic computation of polynomial 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 and the Euler and homotopy operators.

The algorithms are illustrated for prototypical nonlinear polynomial lattices, including the Kac-van Moerbeke (Volterra) and Toda lattices. Results are shown for the modified Volterra and Ablowitz-Ladik lattices.

Item Type: Book section
Additional information: "15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods"
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Jing Ping Wang
Date Deposited: 06 Sep 2008 11:17 UTC
Last Modified: 06 Feb 2020 04:02 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/8932 (The current URI for this page, for reference purposes)
Wang, Jing Ping: https://orcid.org/0000-0002-6874-5629
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