Transforming Radical Differential Equations to Algebraic Differential Equations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909175928324096 |
|---|---|
| author | Falkensteiner, Sebastian Sendra, Rafael |
| author_facet | Falkensteiner, Sebastian Sendra, Rafael |
| contents | In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can be seen as a generalization of previous work on reparametrization of ODEs and PDEs with radical coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_00994 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Transforming Radical Differential Equations to Algebraic Differential Equations Falkensteiner, Sebastian Sendra, Rafael Classical Analysis and ODEs Algebraic Geometry Analysis of PDEs 12H20, 34A12, 12H05, 14E08, 68W30 In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can be seen as a generalization of previous work on reparametrization of ODEs and PDEs with radical coefficients. |
| title | Transforming Radical Differential Equations to Algebraic Differential Equations |
| topic | Classical Analysis and ODEs Algebraic Geometry Analysis of PDEs 12H20, 34A12, 12H05, 14E08, 68W30 |
| url | https://arxiv.org/abs/2112.00994 |