Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs
Exactly Solvable and Integrable Systems
2021-07-23 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2107.10759,
title = {Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs},
author = {Andrei D. Polyanin and Alexei I. Zhurov},
journal= {arXiv preprint arXiv:2107.10759},
year = {2021}
}