Ismagil Talgatovich Khabibullin

Leading Researcher,
Doctor of Science, Professor

ihabib@imat.rb.ru

Scientific Interests

• Boundary value problems for nonlinear integrable equations of mathematical physics, exact and approximate solutions

• Finite dimensional reductions of integrable chains

• Symmetries and invariants of differential and difference equations, characteristic algebras of differential and difference equations

Experience

• 1972-1977 Bashkir State University, Department of Mathematics. Graduated in 1977. Passed 36 subjects. Diploma, speciality "Mathematics and teaching of Mathematics". Masters degree.
• 1977-1980 Bashkir State University (post-graduate course).Graduated in 1980. (Supervisor Prof. Alexey Shabat)
• 1982 Ph.D. in Differential Equations and Mathematical Physics (1982)
• 1996 The second Doctor dissertation
• 1980-current Bashkir State University, from Junior Researcher to Full Professor, Head of Department of Differential Equations
• 1993-current Institute of Mathematics, Russian Academy of Sciences, Leading Researcher
• To this moment - about 50 articles published in Russian and foreign world-famed scientific journals

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Conferences

• All-Union Simposium on Approximation Theory, Ufa,USSR, June, 1987.
• All-Union Scool on Differential Equations and Numerical Methods, USSR, Dilijan, November, 1988.
• Coherent Structures and Integrability. IV International Workshop on Nonlinear and Turbulent Processes in Physics, Kiev, Oktober, 1989.
• Nonlinear Evolution Equations and Dynamical Systems NEEDS'90, Dubna, USSR, July, International Workshop, 1990.
• Nonlinear Evolution Equations and Dynamical Systems NEEDS'92, Dubna, Russia, July, International Workshop, 1992.
• Nonlinear Schredinger Equation:Achievments, Developments, Perspectives. International Workshop (NLS-4), Chernogolovka, near Mockow, Russia. 1994.
• Symmetries in Mathematical Physics. International Workshop. Kiev, Ukraina. 1995.
• Complex analysis and Differential Equations. Ufa, Russia. 1996.
• Nonlinear Physics: Theory and Experiment, Lecce (Gallipoli), Italy, 2002.
• Nonlinear Physics: Theory and Experiment, Lecce (Gallipoli), Italy, 2004.
• Symmetries in Mathematical Physics. International Workshop. Kiev, Ukraina. 2005.
• Difference Equations, Special Functions and Applications, Munich, Germany, 2005.

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Publications

• I.T.Habibullin Inverse Scattering Problem for Difference Equations, Doclady AN SSSR, v.249, N1, P.67-70. (1979).
• V.Yu.Novoksnenov, I.T.Habibullin, Nonlinear Differential- Difference Schemes, Doclady AN SSSR, v.257, N3, P.543-547. (1981)
• V.Yu.Novoksnenov, I.T.Habibullin, Asymptotic Behavior of Differential-Difference Schemes. Uspekhi Mat. Nauk, 36, N4, p.220, (1981) (it is translated into English as "Russuian Math. Survey").
• V.Yu.Novoksnenov, I.T.Habibullin, Asymptotic Behavior of Differential-Difference Wave Systems Integrable by the Inverse Scattering Method, Proceedings of Acad. S.L.Sobolev Seminar, N2, p.10-53 (1982).
• I.T.Habibullin, Discrete Approximation of the Inverse Scattering Problem, Integrable Systems, ed. A.B.Shabat, p.68-87. (1982) Ufa.
• I.T.Habibullin, Discrete Version of Zakharov-Shabat System, Differential Geometry, Lie Group and Mechanics, Zapiski Nauch. Semin LOMI, p.137-146. (1985) Leningrad.
• I.T.Habibullin, On the Riemann Problem of Linear Conjugation on the Circle, Matem. Zametki, 41, N3, p.342-347. (1987).
• I.T.Habibullin, Linear Fractional Transformations and Soliton Systems, Proceedings of the Conference "Approximation Theory", Ufa, 1987.
• I.T.Habibullin, Regular Asymptotics in the Inverse Scattering Problem, Asymptotishe Methoden in der Analisis, ed. R.Riedel, M.Ramasanov, p.23-42. (1988) Halle, Germany.
• I.T.Habibullin, A.G.Shagalov, Numerical Solution of the Riemann Problem, Journal Vichisl. Matem.i Matem. Fiziki, 29 N3 p.382-391, (1989)
• I.T.Habibullin, A.G.Shagalov, Computoral Realisation of the Inverse Scattering Transformation, Teoret. Matem. Fiz. 83, N3,p.323-333. (1990)
• I.T.Habibullin, Backlund Transformation and Boundary Problems for Integrable Equations, Proceedings of IV International Workshop "Nonlinear and Turbulent Processes in Physics" Kiev, 1989; Singapore, World Scientific ,V.1, p.259-265. (1990)
• I.T.Habibullin, On the Integrable Initial Boundary Problems, Teoret. Matem. Fiz. 86, N3, p.43-52. (1991)
• I.T.Habibullin, Backlund Transformation and Integrable Initial Boundary Value Problems, Matem. Zametki, 49, N4, p.130-137. (1991)
• I.T.Habibullin, Integrable Initial Boundary Value Problem on the Half-Plane for the Ishimori and Davey-Stewartson Equations, Problems of Mathematical Physics and Asymptotics of their Solutions, ed. L.A.Kalyakin, p.50-59 (1991)
• I.T.Habibullin, Initial Boundary Problems for the Ishimori Equation, Compatible with the Inverse Scattering Problem Method, Teoret. Matem. Fiz. 91, N3, p.363-376. (1992)
• I.T.Habibullin, Boundary Conditions for Integrable Equations, Proceedings of VIII International Workshop NEEDS'92, Dubna near Moscow 1992, World Scientific, Singapore, (1993)
• I.T.Habibullin, Boundary Problems for Nonlinear Equations, Compatible with Integrability, Teoret. Matem. Fiz. 96, N1, p.109-122. (1993)
• I.T.Habibullin, Symmetries of Boundary Problems, Phys. Letters, A. 178, p.369-375. (1993)
• I.T.Habibullin, Boundary Problems Compatible with Symmetries, Problems of Mathematical Physics and Asymptotics of their Solutions, ed. L.A.Kalyakin, (1993)
• B.I.Suleimanov, I.T.Habibullin, Special Solutions of the KP Equation, Teoret. Matem. Fiz. 97, N2, p.213-226. (1993)
• B.Gurel, M.Gurses, I.T.Habibullin, Boundary value problems compatible with symmetries, Phys. Letters A. 190 p.231-237 (1994)
• I.T.Habibullin, S.I.Svinolupov, Boundary value problems for multifield Nonlinear Shrodinger equiations. Physica D, v.87, p.101(1995).
• B.Gurel, M.Gurses, I.T.Habibullin, Boundary value problems compatible with the symmetry algebra, Journal of Math. Physics, v.36, p.6809 (1995)
• V.E.Adler, I.T.Habibullin, Integrable boundary conditions for the Toda lattice. J. Physics A: Math. Gen. 28 (1995), p.6717-6729.
• I.T.Habibullin, Boundary conditions for integrable chains, Physics Letters A, 207 (1995), p.263-268.
• B.Gurel, M.Gurses, I.T.Habibullin, Boundary value problems, compatible with symmetries, in:Nonlinear Physics: Theory and experiment, World Scientific, Singapore, 1996, P.132-138.
• I.T.Habibullin, V.V.Sokolov, R.I.Yamilov, Multi-component integrable systems and non-associative structures, in:Nonlinear Physics: Theory and experiment, World Scientific, Singapore, 1996, P.139-168.
• I.T.Habibullin, Symmetry approach in boundary value problems, Nonlinear Mathematical Physics, 1996, v.3, N.1-2, P.147-151.
• S.I.Svinolupov, I.T.Habibullin, Integrable boundary conditions for the multi-field Burgers equation, Mathem. Zametki, 1996, V.~60, N.6, ‘.263--268.
• V.E.Adler, I.T.Habibullin, A.B.Shabat, Boundary value problem for KdV equation on a half-line. Theor. Math. Phys., 1997, V~110, N1, P.98-113.
• V.E.Adler, B.Gurel, M.Gurses, I.T.Habibullin, Boundary conditions for integrable equations, Journal of Physics A: Math. Gen., 1997, v.~30, P.3505.
• V.E.Adler, I.T.Habibullin, Boundary conditions for integrable chains. Funk. anal. priloj., 1997, V~31, N2, P.1-14.
• B.Gurel, I.T.Habibullin, Boundary conditions for two-dimensional integrable chains, Phys. Letters A, 1997, V.~233, P.68-72.
• I.T.Habibullin, The sine-Gordon equation on a half-line. Theor. Math. Phys. 1998, v.114, N1, p.115-125.
• I.T.Habibullin, The Korteweg-de Vries equation on a half-line with zero boundary value, Theor. Math. Phys. 1999, v.119, N3, p.397-404.
• I.T.Habibullin, Initial-boundary value problem on a half-line for the modified KdV equation, Functional analysis and Appl., 2000, v.34, N1, p.65-76.
• I.T.Habibullin and A.N.Vil'danov, Integrable Boundary Conditions for Nonlinear Lattices, CRM, Proceedings and Lecture Notes, Montreal, v. 25, 2000, p. 173 - 180.
• I.T.Habibullin and A.N.Vil'danov, Boundary conditions, consistent with L-A pairs, Proceedings of the International Conference MOGRAN 2000, Ufa Russia, p.80-81.
• I.T.Habibullin, N.I.Khisamutdinov, F.Kh.Mukminov, Numerical methods of estimation of petroleum losses under cycling of cold water into the layer. Technical journal "Neftepromyslovoe delo" (Russian), ". ?11, 2000, p. 27 - 29.
• I.T.Habibullin, N.I.Khisamutdinov, F.Kh.Mukminov, Analytical methods of estimation of petroleum losses under cycling of cold water into the layer. Technical journal "Neftepromyslovoe delo" (Russian), ". ?11, 2000, p. 52 - 54.
• I.T.Habibullin, T.G.Kazakova, Boundary conditions for integrable chains, Journal Physics A, Mathematical and General, London, 2001, v. 34, p. 10369-10376.
• I.T.Habibullin, Initial-boundary value problem for the KdV equation on a half-line with homogenous boundary conditions. Theor. Math. Phys., 2002, v. 130, N1, p. 31-53.
• I.T.Habibullin, Integrable initial boundary value problems, Mathematical physics, Analysis and Geometry, 2002, v.9, N2, p.261-267.
• I.T.Habibullin, N.I.Khisamutdinov, F.Kh.Mukminov, Method of working out of the oil-field. Patent RU 2187631 C 2M., 2002.
• I.T.Habibullin, E.V.Gudkova, Boundary conditions for multidimensional integrable equations, Functional analysis and Appl., 2004, v.38, N2, p.71-83.
• I.T.Habibullin, E.V.Gudkova, Kadomtsev-Petviashvili equation on a half-plane, Theor. Math. Phys., 2004, v.140, N2, p.230-240.
• I.T.Habibullin, Truncations of the Toda chain and the reduction problem, Theor. Math. Phys., 2005, v.143, N1, p.33-48.

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