A class of third-order nonlinear autonomous differential equations is analyzed and solved. The first integral method suitable for the third-order autonomous differential equation is introduced and the first integrals of the equation are obtained by this method. Besides this, the functional transformations and Lie group theory are used to solve the equation.
"First integrals and solutions for a class of third-order nonlinear autonomous differential equations." Rocky Mountain J. Math. 51 (2) 643 - 656, April 2021. https://doi.org/10.1216/rmj.2021.51.643