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
A. A. Gainetdinova, R. K. Gazizov, “Integration of systems of two second-order ordinary differential equations with a small parameter that admit four essential operators”, Sib. Èlektron. Mat. Izv., 17 (2020), 604–614
A. A. Gainetdinova, “Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:2 (2018), 143–160
R. K. Gazizov, A. A. Gainetdinova, “Operator of invariant differentiation and its application for integrating systems of ordinary differential equations”, Ufimsk. Mat. Zh., 9:4 (2017), 12–21; Ufa Math. J., 9:4 (2017), 12–21
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