Rational general solutions of systems of first-order algebraic partial differential equations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/44809DOI: 10.1016/j.cam.2017.10.010
ISSN: 0377-0427
Publisher
Elsevier
Date
2018-03-15Funders
Ministerio de Economía y Competitividad
Bibliographic citation
Grasegger, G., Lastra, A., Sendra, J. R. & Winkler, F., 2018, “Rational general solutions of systems of first-order algebraic partial differential equations”, Journal of Computational and Applied Math., vol. 331, pp. 88-103
Keywords
Algebraic partial differential equation
Rational general solution
Exact computation
Project
info:eu-repo/grantAgreement/MINECO//MTM2012-31439/ES/ANALISIS DE PERTURBACIONES SINGULARES: ESTUDIO ASINTOTICO, CAPAS LIMITE Y FENOMENOS MULTIESCALA/
info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cam.2017.10.010Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
© 2018 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
We study the rational solutions of systems of first-order algebraic partial differential equations and relate them to those of an associated autonomous system. We also describe how rational general solutions of these systems are related, and provide an algorithm in some particular case concerning the dimension of the associated algebraic variety. Our results can be considered as a generalization of the approach by L. X. C. Ngô and F. Winkler on algebraic ordinary differential equations of order one, adapted to systems of first-order algebraic partial differential equations.
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