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arXiv · 2112.00994

Transforming Radical Differential Equations to Algebraic Differential Equations

Sebastian Falkensteiner·Rafael Sendra
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Abstract

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.

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Sebastian Falkensteiner, Rafael Sendra. 2024-04-11. Transforming Radical Differential Equations to Algebraic Differential Equations. https://doi.org/10.1007/s00009-024-02624-1

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