Transforming ODEs and PDEs from radical coefficients to rational coefficients

Authors
Caravantes Tortajada, JorgeUniversity of Alcalá Author; Sendra Pons, Juan RafaelUniversity of Alcalá Author; Sevilla, David; Villarino Cabellos, CarlosUniversity of Alcalá Author
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/49677
DOI: 10.1007/s00009-021-01703-x
ISSN: 1660-5446
Publisher
Springer
Date
2021-03-30
Embargo end date
2022-03-30
Affiliation
Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Junta de Extremadura
Bibliographic citation
Caravantes, J., Sendra, J.R., Sevilla, D. & Villarino, C. 2021, "Transforming ODEs and PDEs from radical coefficients to rational coefficients", Mediterranean Journal of Mathematics, vol. 18, art. no. 96.
Keywords
Algebraic ordinary differential equations
Algebraic partial differential equations
Rational reparametrization
Radical coefficients
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/
info:eu-repo/grantAgreement/UAH//CM-JIN-2019-010
FQM024 (Junta de Extremadura)
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1007/s00009-021-01703-x
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
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Abstract
We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables so that solutions correspond one-to-one. Our method also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties.
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