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2012 | OriginalPaper | Chapter

Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential–Difference Equations

Authors : Ünal Göktaş, Willy Hereman

Published in: Dynamical Systems and Methods

Publisher: Springer New York

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Abstract

Algorithms for the symbolic computation of polynomial conservation laws, generalized symmetries, and recursion operators for systems of nonlinear differential–difference equations (DDEs) are presented. The algorithms can be used to test the complete integrability of nonlinear DDEs. The ubiquitous Toda lattice illustrates the steps of the algorithms, which have been implemented in Mathematica. The codes InvariantsSymmetries.m and DDERecursionOperator.m can aid researchers interested in properties of nonlinear DDEs.

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previous chapter The Ring Problem of (N+1) Bodies: An Overview
next chapter Approximate Polynomial Solution of a Nonlinear Differential Equation with Applications
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Metadata
Title
Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential–Difference Equations
Authors
Ünal Göktaş
Willy Hereman
Copyright Year
2012
Publisher
Springer New York
Book
Dynamical Systems and Methods

Print ISBN: 978-1-4614-0453-8

Electronic ISBN: 978-1-4614-0454-5

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-1-4614-0454-5_7

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