Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order
| dc.contributor.author | Liu, Yang | |
| dc.contributor.author | Lyakhov, Dmitry | |
| dc.contributor.author | Michels, Dominik L. | |
| dc.date.accessioned | 2020-09-22T05:59:17Z | |
| dc.date.available | 2020-09-22T05:59:17Z | |
| dc.date.issued | 2020-09-15 | |
| dc.identifier.uri | http://hdl.handle.net/10754/665267 | |
| dc.description.abstract | We consider the problem of the exact linearization of scalar nonlinear ordinary differential equations by contact transformations. This contribution is extending the previous work by Lyakhov, Gerdt, and Michels addressing linearizability by means of point transformations. We have restricted ourselves to quasi-linear equations solved for the highest derivative with a rational dependence on the occurring variables. As in the case of point transformations, our algorithm is based on simple operations on Lie algebras such as computing the derived algebra and the dimension of the symmetry algebra. The linearization test is an efficient algorithmic procedure while finding the linearization transformation requires the computation of at least one solution of the corresponding system of the Bluman-Kumei equation. | |
| dc.description.sponsorship | This work has been funded by the King Abdullah University of Science and Technology (KAUST baseline funding). | |
| dc.subject | contact symmetry, differential Thomas decomposition, exact linearization, nonlinear ordinary differential equations, symbolic computation. | |
| dc.title | Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order | |
| dc.type | Presentation | |
| dc.contributor.department | Visual Computing Center King Abdullah University of Science and Technology, Thuwal, Saudi Arabia | |
| dc.conference.date | 9/14-9/18 | |
| dc.conference.name | Computer Algebra in Scientific Computing - CASC 2020 | |
| dc.conference.location | online | |
| refterms.dateFOA | 2020-09-22T05:59:18Z |
