Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 18.06.1946
Keywords: dynamical systems, Lie–Backlund groups, integrability of hyperbolic systems, equation of Liouville type.

Subject:

Complete lists of Klein-Gordon equations and their generalizations were obtained possessing higher symmetries. An effective criterion of Darboux integrability of differential equations was established in terms of the Laplace invariants. The classical problem of the classification of nonlinear hyperbolik equations possessing integrals was solved. A new method of integration of such equations was suggested.

Main publications:

1. A.V. Zhiber, “Kvazilineinye giperbolicheskie uravneniya s beskonechnomernoi algebroi simmetrii”, Izvestiya RAN, ser. matem., 58:4 (1994), 33–54      
2. V.V. Sokolov, A.V. Zhiber, “On the Darboux integrate hyperbolik equation”, Phys. Letters A, 208 (1995), 303–308        
3. A.V. Zhiber, V.V. Sokolov, “Novyi primer giperbolicheskogo uravneniya obladayuschego integralami”, TMF, 120:1 (1999), 20–26      
4. A.V. Zhiber, V.V. Sokolov, “Tochno integriruemye giperbolicheskie uravneniya liuvillevskogo tipa”, UMN, 56:1, 63–106      

Recent publications

Personal pages:

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Organisations:

• Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
• Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences, Ufa