Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs

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dc.creatorBaldwin, Douglas
dc.creatorHereman, Willy
dc.creatorSayers, Jack
dc.date2003-11-16
dc.date.accessioned2026-07-07T05:35:06Z
dc.date.available2026-07-07T05:35:06Z
dc.descriptionThis paper discusses the algorithms and implementations of three Mathematica packages for the study of integrability and the computation of closed-form solutions of nonlinear polynomial PDEs. The first package, PainleveTest.m, symbolically performs the Painleve integrability test. The second package, PDESpecialSolutions.m, computes exact solutions expressible in hyperbolic or elliptic functions. The third package, PDERecursionOperator.m, generates and tests recursion operators.
dc.description15 pages for the CRM Proceedings of the Workshop on Group Theory and Numerical Methods
dc.identifierhttps://arxiv.org/abs/nlin/0311028
dc.identifierhttp://arxiv.org/abs/nlin/0311028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80601
dc.subjectExactly Solvable and Integrable Systems
dc.titleSymbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs
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