Yulia Yu Bagderina, “Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals”, J. Phys. A: Math. Theor., 49, no. 15, 2016, 155202
Vera V. Kartak, ““Painlevé 34” equation: Equivalence test”, Communications in Nonlinear Science and Numerical Simulation, 19, no. 9, 2014, 2993
Yulia Yu. Bagderina, Nikolai N. Tarkhanov, “Solution of the equivalence problem for the third Painlevé equation”, Journal of Mathematical Physics, 56, no. 1, 2015, 013507
Yu. Yu. Bagderina, “Group classification of projective type second-order ordinary differential equations”, J. Appl. Ind. Math., 10, no. 1, 2016, 37
Yu. Yu. Bagderina, “Necessary Conditions for Point Equivalence of Second-Order Odes to the Sixth Painlevé Equation”, J Math Sci, 242, no. 5, 2019, 595
C. Tsaousi, R. Tracinà, C. Sophocleous, “Differential invariants for third-order evolution equations”, Communications in Nonlinear Science and Numerical Simulation, 20, no. 2, 2015, 352
Yu. Yu. Bagderina, “Equivalence of second-order ordinary differential equations to Painlevé equations”, Theor Math Phys, 182, no. 2, 2015, 211
Yu. Yu. Bagderina, “Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters”, Theor Math Phys, 202, no. 3, 2020, 295
Dmitry I. Sinelshchikov, Ilia Yu. Gaiur, Nikolay A. Kudryashov, “Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations”, Journal of Mathematical Analysis and Applications, 480, no. 1, 2019, 123375
Dmitry I. Sinelshchikov, “On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations”, Chaos, Solitons & Fractals, 141, 2020, 110318