Published 2005
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations
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 Fréchet and variational derivatives, as well as discrete 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.
Additional Information
© 2005 American Mathematical Society. This paper is dedicated to Ryan Sayers (1982-2003). This material is based upon work supported by the National Science Foundation under Grant No. CCR-9901929. M. Hickman and B. Deconinck are gratefully acknowledged for valuable discussions. D. Baldwin is thanked for proof reading the manuscript.Attached Files
Published - Hereman2005p9352Group_Theory_And_Numerical_Analysis.pdf
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Hereman2005p9352Group_Theory_And_Numerical_Analysis.pdf
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Additional details
- Eprint ID
- 24930
- Resolver ID
- CaltechAUTHORS:20110818-101146521
- CCR-9901929
- NSF
- Created
-
2011-08-18Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field
- Series Name
- CRM Proceedings and Lecture Notes
- Series Volume or Issue Number
- 39