• Corpus ID: 244798640

Transforming Radical Differential Equations to Algebraic Differential Equations

@inproceedings{Falkensteiner2021TransformingRD,
  title={Transforming Radical Differential Equations to Algebraic Differential Equations},
  author={Sebastian Falkensteiner and Rafael Sendra},
  year={2021}
}
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… 

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