# Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations

Source: [Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations](<https://www.sota2.com/research/paper/68fa465f1e209131ce91fafd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T05:46:00.493Z

Authors: Kelvin Kiprono, J\\'anos T\\'oth

Published: 2024-02-15T10:01:07.000Z

## Abstract

The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equations based on the Cauchy--Riemann equations. It turns out that the method can be used to symbolically solve some polynomial differential equations that are not necessarily kinetic, as well.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2402.09842>)

[PDF](<https://arxiv.org/pdf/2402.09842.pdf>)