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.
Biography
Graduated from Faculty of Phisics and Mathematics of Sterlitamak State Pedagogical Institute in 1997. A list of my works contains 2 titles.
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.
A. A. Bormisov, F. Kh. Mukminov, “Symmetries of Systems of the Hyperbolic Riccati Type”, TMF, 127:1 (2001), 47–62; Theoret. and Math. Phys., 127:1 (2001), 446–459
A. A. Bormisov, E. S. Gudkova, F. Kh. Mukminov, “On integrability of Rikkati-type systems of hyperbolic equations”, TMF, 113:2 (1997), 261–275; Theoret. and Math. Phys., 113:2 (1997), 1418–1430
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