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Transforming ODEs and PDEs with radical coefficients into rational coefficients
arXiv - CS - Symbolic Computation Pub Date : 2020-03-13 , DOI: arxiv-2003.06301
Jorge Caravantes, J. Rafael Sendra, David Sevilla, Carlos Villarino

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.

中文翻译:

将带有根系数的 ODE 和 PDE 转换为有理系数

我们提出了一种算法,如果可能的话,通过变量的有理变化,将具有根函数系数的给定 ODE 或 PDE 转换为具有有理系数的 ODE 或 PDE。它也适用于线性 ODE 系统。它基于先前关于激进代数变体的重新参数化的工作。
更新日期:2020-03-16
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