Home > Articles > Published articles > On the complete integrability of the Raychaudhuri differential system in R^4 and of a CRNT model in R^5 |
Date: | 2017 |
Abstract: | WestudytheDarbouxintegrabilityoftwodifferentialsystemswithparam- eters: the Raychaudhuri equation (a relativistic model in R4) and a chemical reaction model in R5. We prove that the first one is completely integrable and that the first inte- grals are of Darboux type. This is the first four-dimensional realistic non-trivial model which is completely integrable with first integrals of Darboux type and for which for a full Lebesgue measure set of the values of the parameters the three linearly indepen- dent first integrals are rational. For the second one, we find all its Darboux polynomials and exponential factors and we prove that it is not Darboux integrable. |
Grants: | Ministerio de Economía y Competitividad MTM2013-40998-P |
Note: | Agraïments: A. Ferragut is partially supported by the Universitat Jaume I Grant P1-1B2015-16. C.Valls is supported by Portuguese National Funds through FCT - Fundação para a Ciência e a Tecnologia within the Project PTDC/MAT/117106/2010 and by CAMGSD. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Chemical reaction network ; Darboux integrability ; Darboux polynomial ; Exponential factor ; Raychaudhuri equation |
Published in: | Qualitative theory of dynamical systems, 2017 , ISSN 1662-3592 |
Postprint 16 p, 266.5 KB |