dorsal/arxiv
View SchemaSymbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations
| Authors | Unal Goktas, Willy Hereman |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9702008 |
| URL | https://arxiv.org/abs/solv-int/9702008 |
Abstract
A new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlinear evolution equations is presented. The algorithm is implemented in Mathematica. The program condens.m automatically carries out the lengthy symbolic computations for the construction of conserved densities. The code is tested on several well-known partial differential equations from soliton theory. For systems with parameters, condens.m can be used to determine the conditions on these parameters so that a sequence of conserved densities might exist. The existence of a large number of conservation laws is a predictor for integrability of the system.
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"abstract": "A new algorithm for the symbolic computation of polynomial conserved\ndensities for systems of nonlinear evolution equations is presented. The\nalgorithm is implemented in Mathematica. The program condens.m automatically\ncarries out the lengthy symbolic computations for the construction of conserved\ndensities. The code is tested on several well-known partial differential\nequations from soliton theory. For systems with parameters, condens.m can be\nused to determine the conditions on these parameters so that a sequence of\nconserved densities might exist. The existence of a large number of\nconservation laws is a predictor for integrability of the system.",
"arxiv_id": "solv-int/9702008",
"authors": [
"Unal Goktas",
"Willy Hereman"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations",
"url": "https://arxiv.org/abs/solv-int/9702008"
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