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arXiv · 2209.05113

New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations

Francesco Calogero·Farrin Payandeh
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Abstract

In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations. Its ODEs feature 2 right-hand sides which are the ratios of 2 homogeneous polynomials of first degree divided by the same homogeneous polynomial of second degree. The model features only 4 arbitrary parameters. We also report its isochronous variant featuring 4 nonlinearly-coupled first-order ODEs in 4 dependent variables, featuring 9 arbitrary parameters.

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Francesco Calogero, Farrin Payandeh. 2022-09-28. New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations. https://doi.org/10.46298/ocnmp.10067

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