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

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 homogeneo...

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Bibliographic Details
Published in:Open Communications in Nonlinear Mathematical Physics 2022-09, Vol.2
Main Authors: Calogero, Francesco, Payandeh, Farrin
Format: Article
Language:English
Subjects:
mathematics - dynamical systems
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Summary: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.
ISSN:2802-9356
2802-9356
DOI:10.46298/ocnmp.10067