论文标题

将基本系数的ODE和PDE转换为有理系数

Transforming ODEs and PDEs with radical coefficients into rational coefficients

论文作者

Caravantes, Jorge, Sendra, J. Rafael, Sevilla, David, Villarino, Carlos

论文摘要

我们提出了一种算法,如果可能的话,将带有根部函数系数的给定ODE或PDE转换为具有理性系数的算法或通过变量的合理变化。它也适用于线性ODES系统。它基于以前关于重新培训代数品种的工作。

We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables. It also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties.

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