A solution method for autonomous first-order algebraic partial differential equations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/44793DOI: 10.1016/j.cam.2015.12.030
ISSN: 0377-0427
Publisher
Elsevier
Date
2016-12-01Funders
Ministerio de Ciencia e Innovación
Bibliographic citation
Grasegger, G., Lastra, A., Sendra, J. R. & Winkler, F., 2016, “A solution method for autonomous first-order algebraic partial differential equations”, Journal of Computational and Applied Math., vol. 300, pp. 119-133
Keywords
Partial differential equations
Algebraic hypersurface
Rational parametrization
Complete solution
Project
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cam.2015.12.030Rights
Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
(c) 2016 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
In this paper we present a procedure for solving first-order autonomous algebraic partial differential equations in an arbitrary number of variables. The method uses rational parametrizations of algebraic (hyper)surfaces and generalizes a similar procedure for first-order autonomous ordinary differential equations. In particular we are interested in rational solutions and present certain classes of equations having rational solutions. However, the method can also be used for finding non-rational solutions.
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