dorsal/arxiv
View SchemaComputation of conservation laws for nonlinear lattices
| Authors | Unal Goktas, Willy Hereman |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9801023 |
| URL | https://arxiv.org/abs/solv-int/9801023 |
| DOI | 10.1016/S0167-2789(98)00140-7 |
Abstract
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.
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"date_created": "2026-03-02T18:02:51.570000Z",
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"abstract": "An algorithm to compute polynomial conserved densities of polynomial\nnonlinear lattices is presented. The algorithm is implemented in Mathematica\nand can be used as an automated integrability test. With the code diffdens.m,\nconserved densities are obtained for several well-known lattice equations. For\nsystems with parameters, the code allows one to determine the conditions on\nthese parameters so that a sequence of conservation laws exist.",
"arxiv_id": "solv-int/9801023",
"authors": [
"Unal Goktas",
"Willy Hereman"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0167-2789(98)00140-7",
"title": "Computation of conservation laws for nonlinear lattices",
"url": "https://arxiv.org/abs/solv-int/9801023"
},
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