Jointly with F. Kh. Mukminov and E. S. Gudkova it was shown that for every hiperbolic system of Riccati type is corresponded by natural way a $Z$-graded Lie algebra. This result permited (jointly with F. Kh. Mukminov) to describe the symmetries of hiperbolic system of Riccati type corresponded to the affine Kac–Moody algebras.
Main publications:
Bormisov A. A., Gudkova E. S., Mukminov F. Kh. Ob integriruemosti giperbolicheskikh sistem tipa uravneniya Rikkati // Teoreticheskaya i matematicheskaya fizika, 1997, T. 113, # 2, S. 261–275.
Bormisov A. A., Mukminov F. Kh. Simmetrii giperbolicheskikh sistem tipa uravneniya Rikkati // Teoreticheskaya i matematicheskaya fizika, 2001, T. 127, # 1, S. 448–459.
