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Riccati-parameter solutions of nonlinear second-order ODEs

dc.contributor.authorReyes, Marco A.
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.editorIOP Publishing
dc.date.accessioned2018-03-21T23:42:28Z
dc.date.available2018-03-21T23:42:28Z
dc.date.issued2008
dc.identifier.citationM A Reyes and H C Rosu. 2008 J Phys A 41 285206 https://doi.org/10.1088/1751-8113/41/28/285206
dc.identifier.urihttp://hdl.handle.net/11627/3495
dc.description.abstract"It has been proven by Rosu and Cornejo-Pérez [1, 2] that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order differential operators. Here, it is shown that an interesting class of parametric solutions are easy to obtain if the proposed factorization has a particular form, which happily turns out to be the case in many problems of physical interest. The method that we exemplify with a few explicitly solved cases consists in using the general solution of the Riccati equation, which contributes with one parameter to this class of parametric solutions. For these nonlinear cases, the Riccati parameter serves as a growth parameter from the trivial null solution up to the particular solution found through the factorization procedure."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMathematical physics
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleRiccati-parameter solutions of nonlinear second-order ODEs
dc.typearticle
dc.identifier.doihttps://doi.org/10.1088/1751-8113/41/28/285206
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional