Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs

2021/07/22 by Polyanin, Andrei D., Zhurov, Alexei I.
#Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.2107.10759

Abstract

This note considers fairly general quasi-homogeneous systems of first-order nonlinear ODEs and homogeneous systems of second-order nonlinear ODEs that contain arbitrary functions of several arguments. It presents several exact solutions to these systems in terms of elementary functions.

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