Keywords: systems of ODEs, operator of invariant differentiation, admitted Lie algebras of operators
Subject:
group analysis of differential equations
Main publications:
A.A. Gainetdinova, R.K. Gazizov, “Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras”, Proc. R. Soc. A, 473:2197 (2017), 20160461
N.H. Ibragimov, A.A. Gainetdinova, “Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras”, Applied Mathematics Letters, 52 (2016), 126-131