Computation of conservation laws for nonlinear lattices

An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated integrability test. With the code diffdens.m, conserved densities are obtained for several well-known lattice equations. F...

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Bibliographic Details
Published in:Physica. D 1998, Vol.123 (1), p.425-436
Main Authors: Göktaş, Ünal, Hereman, Willy
Format: Article
Language:English
Subjects:
Conservation law
Integrability
Lattice
Semi-discrete
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Summary:An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated integrability test. With the code diffdens.m, conserved densities are obtained for several well-known lattice equations. For systems with parameters, the code allows one to determine the conditions on these parameters so that a sequence of conservation laws exist.
ISSN:0167-2789
1872-8022
DOI:10.1016/S0167-2789(98)00140-7