Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

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dc.creatorGoktas, Unal
dc.creatorHereman, Willy
dc.date1997-02-27
dc.date.accessioned2026-07-07T09:17:57Z
dc.date.available2026-07-07T09:17:57Z
dc.descriptionA 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.
dc.description31 pages, Latex, uses jsc.sty, submitted to J. Symbolic Computation
dc.identifierhttps://arxiv.org/abs/solv-int/9702008
dc.identifierhttp://arxiv.org/abs/solv-int/9702008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153857
dc.subjectExactly Solvable and Integrable Systems
dc.titleSymbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations
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