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arXiv · 2106.06634

Explicitly Solvable Systems of First-order Ordinary Differential Equations with Polynomial Right-hand Sides, and Their Periodic Variants

Francesco Calogero·Farrin Payandeh
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Abstract

In this Letter we identify special systems of (an arbitrary number) N of first-order Ordinary Differential Equations with homogeneous polynomials of arbitrary degree M on their right-hand sides, which feature very simple explicit solutions; as well as variants of these systems--with right-hand sides no more homogeneous--which feature periodic solutions. A novelty of these findings is to consider special systems characterized by constraints involving both their parameters and their initial data.

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Francesco Calogero, Farrin Payandeh. 2021-06-11. Explicitly Solvable Systems of First-order Ordinary Differential Equations with Polynomial Right-hand Sides, and Their Periodic Variants. https://doi.org/10.1134/s0040577922100026

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