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Depart ment of Differential Equations

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Bulat Irekovich Suleimanov

Senior Researcher,
PhD

bisul@mail.ru

Scientific Interests

  • Integrable nonlinear equations

  • Asymptotics for the solutions of nonlinear equations

  • Catastrophe theory

Experience

  • 1975 graduated from high-school
  • 1975-1980 Student, Faculty of Mathematics, Bashkir State University
  • 1982-1985 Post-graduate student, Division of Physics and Mathematics, Bashkir Branch of the Academy of Sciences, supervisor Prof. A.M. Il'in
  • 1987 PhD, thesis "Asymptotics for the solutions of some Painleve equations"
  • 1990-present Senior researcher, Institute of Mathematics, Ufa Scientific Center of RAS

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Conferences

  • 08/96 Int. conference "Complex analysis, differential equations and applications", Ufa, Russia
  • 08/98 Int. conference "Exactly solvable models in mathematical physics", Chelyabinsk, Russia
  • 05/00 Int. conference "Complex analysis, differential equations and related problems", Ufa, Russia
  • 05/02 Int. conference "Asymptotics in differential equations", Ufa, Russia
  • 12/04 Int. conference on Complex analysis, Equations of Math. Physics, Computational Mathematics, Yaktykul', Russia

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Publications

  • Il'in A.M., Suleimanov B.I., Asymptotics of Green function for the second order elliptic operator near the domain boundary. Izvestiya AN SSSR, ser. math. 2983, V.17, N.6. P. 149-138. (in Russian)
  • Novokshenov V.Yu., Suleimanov B.I., The isomonodromic deformation method and asympotics of Painleve transcendents. Uspehi Math. Nauk, 1984, V. 39, N. 4. P. 115-215. (in Russian)
  • Suleimanov B.I., On asymptotics of regular solutions for a special kind of Painleve V equation. Lecture Notes in Mathematics., 1986, v.1193. p.230-260.
  • Suleimanov B.I., Relation for the asymptotics on different infinities of the solutions of second Painleve equation. Dif. uravn., 1987, V. 43, N 5. P. 834-842. (in Russian)
  • Suleimanov B.I., Cherdantsev I.Yu., Asymptotics of singular solutions of second Painleve equation. Dif. uravn., 1990, V. 26, N 3. P. 540-542. (in Russian)
  • Suleimanov B.I., Yamilov R.I., Second Painleve equation in one problem on nonlnear effects near caustics. Zapiski LOMI, 1991, V. 187. P. 110-128. (in Russian)
  • Suleimanov B.I., The Stokes isomonodromy phenomenon and nonlinear effects near a caustic cusp. Russian Acad. Sci. Dokl. Math., 1993, V. 46, N 2, P. 220-224.
  • Suleimanov B.I., A "nonlinear" generalization of special functions of wave catastrophes described by double integrals. Matem. zametki, 1992, V. 52, N 5. P. 102-106. (in Russian); P. 1146-1149. (in English)
  • Suleimanov B.I., Khabibullin I.T., Symmetries of Kadomtsev-Petviashvili equation, isomonodromic deformations, and "nonlinear" generalizations of the special functions of wave catastrophes. Teor. Matem. Fiz., 1993, V. 97, N 2. P. 213-226. (in Russian); P. 1250-1258. (in Ehglish)
  • Suleimanov B.I., Solution of the Korteweg-de Vries equation which arises near the breaking point in problems with a slight dispersion. JETP Lett., 1993, V. 58, N 11. P. 849-854.
  • Suleimanov B.I., Habibullin I.T., Onset of nondissipative shock waves and the "nonperturbative" quantum theory of gravitation. JETP, 1994, V. 78, Is. 5. P. 583-587.
  • Suleimanov B.I., Hamiltonian property of the Painleve equations and the method of isomonodromic deformations. Dif. uravn., 1994, V. 30, N 5. P. 791-796. (in Russian); P. 726-736. (in English)
  • Suleimanov B.I., Influence of weak nonlinearity on the high-frequency asymptotics in caustics rearrangements, Theor. Math. Phys., 1994, V. 98, N 2. P. 132-138.
  • Balandin S.P., Suleimanov B.I., Linearization of Burgers type systems, concerned with hamilton structure of second order ordinary differential equations, Dif. uravn., 1994, V. 30, N 12. P. 2195-2176. (in Russian)
  • Suleimanov B.I., Quantization of two-gap potentials in nonperturbative string theory and oscillations of the Gurevich-Pitaevskii nondissipative shock wave. Physics of Atomic Nuclei, 1995, V. 58, N 6. P. 1046-1048.
  • Kudashev V.R., Suleimanov B.I., Characteristic features of some typical spontaneous intensity collapse processes in unstable media, JETP Lett., 1995, V. 62, N 4. P. 382-388.
  • Kudashev V.R., Suleimanov B.I., Power asymptotics for the solutions of the Painleve type equations, Uspehi Math. Nauk, 1995, V. 50, Is. 4. P. 76-77. (in Russian)
  • Kudashev V.R., Suleimanov B.I., A soft mechanism for generation the dissipationless shock waves, Physics letters Ser.A, 1996, V.~221, N 3, 4. P. 204-208.
  • Kudashev V.R., Suleimanov B.I., Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation, Theor. Math. Phys., 1999, V. 118, N 3. P. 325-332.
  • Kudashev V.R., Suleimanov B.I., The effect of small dissipation on the onset of one-dimensional shock waves, J. Appl. Math. Mech., 2001. V. 65, N 3. P. 441-451.
  • Suleimanov B.I., Cusp catastrophe in slowly varying equilibriums. JETP, 2002, V. 95, Is. 5. P. 944-956.
  • Il'in A.M., Suleimanov B.I., On two special functions, concerned with the cusp singularity. Doklady RAN, 2002. V. 387, N 2. P. 156-158. (in Russian)
  • Il'in A.M., Suleimanov B.I., Coefficients of inner expansion in study of asymptotics for some singular boundary value problems. Dal'nevost. math. journal, 2003. V. 4, N 1. P. 78-85. (in Russian)
  • A.M.Il'in, B.I.Suleimanov. Birth of step-like contrast structures connected with a cusp catastrophe. Sbornik: Mathematics. 2004. 195:11-12 1727-1746.
  • A.M.Il'in, B.I.Suleimanov. Asymptotic behavior of a special solution of Abel's equation connected with a cusp catastrophe. Sbornik: Mathematics. 2006. 197:1-2 53-67.
  • B.I.Suleimanov. On Some Typical Features of Motion with Damping in the Case of a Smooth Inhomogeneteity. (Russian) Dokl. Akadem. nauk. 2006. 407:4 40-42.
  • A.M.Il'in, B.I.Suleimanov. Asymptotic behavior of a special solution of Abel's equation connected with a cusp catastrophe. II. Sbornik: Mathematics. 2007. 198:9 81-106.

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B.I. Suleimanov