Scientific interests: Painleve ordinary differential equations, their higher analogues and applications, behaviour of solutions of PDE with small parameter near typical singularities of limiting equations. It is shown that universal special functions of wave catastrophes - solutions of nonlinear integrable PDE - are solutions of higher analogues of Painleve ODE.
Biography
Graduated from Bashikirian state unversity in 1980 (department of of differential equations). Ph.D. thesis was defended in 2010. A list of my works contains 37 titles.
Main publications:
Suleimanov B. I., Khabibullin I. T. Simmetrii uravneniya Kadomtseva–Petviashvili, izomonodromnye deformatsii i "nelineinye" obobscheniya nelineinykh spetsialnykh funktsii volnovykh katastrof // Teoreticheskaya i matematicheskaya fizika, 1993, 97, 2, 213–226.
Suleimanov B. I. Vozniknovenie bezdissipativnykh udarnykh voln i "neperturbativnaya" kvantovaya teoriya gravitatsii // Zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1994, 105, 5, 1089–1097.
Suleimanov B. I. Gamiltonova struktura uravnenii Penleve i metod izomonodromnykh deformatsii // Differentsialnye uravneniya, 1994, 30, 5, 791–795.
Kudashev V. R., Suleimanov B. I. Osobennosti nekotorykh tipichnykh protsessov samoproizvolnogo padeniya intensivnosti v neustoichivykh sredakh // Pisma v zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1995, 62, 4, 358–363.
Kudashev V. R., Suleimanov B. I. Vliyanie maloi dissipatsii na protsessy zarozhdeniya odnomernykh udarnykh voln // Prikladnaya matematika i mekhanika. 2001, 65, 3, 456–466.
V. Yu. Novokshenov, B. I. Suleimanov, “The isomonodromic deformation method and asymptotics of the second and third Painleve transcendents”, Usp. Mat. Nauk, 39:4 (1984), 114–115
B. I. Suleimanov, ““Quantizations” of the second Painlevé equation and the problem of the equivalence of its $L$–$A$ pairs”, Theoret. and Math. Phys., 156:3 (2008), 1280–1291
3.
V. Kudashev, B. Suleimanov, “A soft mechanism for the generation of dissipationless shock waves”, Physics Letters A, 221:3 (1996), 204–208
B. I. Suleimanov, “Effect of a small dispersion on self-focusing in a spatially one-dimensional case”, JETP Letters, 106:6 (2017), 400–405
5.
R. N. Garifullin, B. I. Suleimanov, “From weak discontinuities to nondissipative shock waves”, Journal of Experimental and Theoretical Physics, 110:1 (2010), 133–146
B. I. Suleimanov, ““Quantizations” of Higher Hamiltonian Analogues of the Painlevé I and Painlevé II Equations with Two Degrees of Freedom”, Funct. Anal. Appl., 48:3 (2014), 198–207
7.
V. R. Kudashev, B. I. Suleimanov, “The effect of small dissipation on the onset of one-dimensional shock waves”, Journal of Applied Mathematics and Mechanics, 65:3 (2001), 441–451
B. I. Suleimanov, “The “quantum” linearization of the Painlevé equations as a component of theier $L,A$ pairs”, Ufimsk. Mat. Zh., 4:2 (2012), 127–135
9.
R. Garifullin, B. Suleimanov, N. Tarkhanov, “Phase shift in the Whitham zone for the Gurevich–Pitaevskii special solution of the Korteweg–de Vries equation”, Physics Letters A, 374:13 (2010), 1420–1424
B. I. Suleimanov, “The Hamilton property of Painlevé equations and the method of isomonodromic deformations”, Differ. Equ., 30:5 (1994), 726–732
11.
B. I. Suleimanov, “The second Painlevé equation at a problem about nonlinear effects near caustics”, J. Math. Sci., 73:4 (1995), 482–493
12.
D. P. Novikov, B. I. Suleimanov, ““Quantization” of an isomonodromic Hamiltonian Garnier system with two degrees of freedom”, Theoret. and Math. Phys., 187:1 (2016), 479–496
13.
B. I. Suleimanov, “Quantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potential”, Ufa Math. Journal, 8:3 (2016), 136–154
14.
A. M. Il'in, B. I. Suleimanov, “Birth of step-like contrast structures connected with a cusp catastrophe”, Sb. Math., 195:12 (2004), 1727–1746
15.
V. R. Kudashev, B. I. Suleimanov, “Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation”, Theoret. and Math. Phys., 118:3 (1999), 325–332
16.
B. I. Suleimanov, “Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements”, Theoret. and Math. Phys., 98:2 (1994), 132–138
17.
B. I. Suleimanov, I. T. Habibullin, “Symmetries of Kadomtsev–Petviashvili equation, isomonodromic deformations, and nonlinear generalizations of the special functions of wave catastrophes”, Theoret. and Math. Phys., 97:2 (1993), 1250–1258
18.
V. A. Pavlenko, B. I. Suleimanov, ““Quantizations” of isomonodromic Hamilton system $H^{\frac{7}{2}+1}$”, Ufa Math. Journal, 9:4 (2017), 97–107
19.
B. I. Suleimanov, “A “nonlinear” generalization of special functions of wave catastrophes described by double integrals”, Math. Notes, 52:5 (1992), 1146–1149
20.
B. I. Suleimanov, A. M. Shavlukov, “Integrable Abel equation and asymptotics
of symmetry solutions of Korteweg-de Vries equation”, Ufa Math. J., 13:2 (2021), 99–106
21.
V. A. Pavlenko, B. I. Suleimanov, “Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system $H^{2+1+1+1}$”, Ufa Math. J., 10:4 (2018), 92–102
22.
B. I. Suleimanov, “Asymptotics of the Gurevich–Pitaevskii universal special solution of the Korteweg–de Vries equation as $|x|\to\infty$”, Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 137–145
23.
B. I. Suleimanov, “Cusp catastrophe in slowly varying equilibriums”, Journal of Experimental and Theoretical Physics, 95:5 (2002), 944–956
B. I. Suleimanov, “The isomonodromic Stokes phenomenon and nonlinear effects near a cuspidal caustic”, Dokl. Math., 46:2 (1993), 220–224
25.
B. I. Suleimanov, A. M. Shavlukov, “Inheritance of Generic Singularities of Solutions of a Linear Wave Equation by Solutions of Isoentropic Gas Motion Equations”, Math. Notes, 112:4 (2022), 608–620
26.
A. V. Domrin, B. I. Suleimanov, M. A. Shumkin, “Global Meromorphy of Solutions of the Painlevé Equations and Their Hierarchies”, Proc. Steklov Inst. Math., 311 (2020), 98–113
27.
V. A. Pavlenko, B. I. Suleimanov, “Yavnye resheniya analogov vremennykh uravnenii Shredingera s gamiltonovoi sistemoi $H^{4+1}$.”, Izvestiya RAN. Seriya fizicheskaya., T. 84:# 5 (2020), S. 695–698
B. I. Suleimanov, “On analogs of wave catastrophe functions that are solutions of nonlinear integrable equations”, Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 163, VINITI, Moscow, 2019, 81–95
29.
A. A. Ershov, B. I. Suleimanov, “Some Features of Bending of a Rod
under a Strong Longitudinal Compression”, Russian Journal of Mathematical Physics, 24:2 (2017), 216–233
A. M. Il'in, B. I. Suleimanov, “Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe”, Sb. Math., 197:1 (2006), 53–67
32.
S. P. Balandin, B. I. Suleimanov, “Linearization of a Burgers-type system connected with the Hamiltonian structure of second-order ordinary differential equations”, Differ. Equ., 30:12 (1994), 1998–2000
33.
B. I. Suleimanov, “THE RELATION BETWEEN ASYMPTOTIC PROPERTIES OF SOLUTIONS OF THE 2ND PAINLEVE EQUATION IN DIFFERENT DIRECTIONS TOWARDS INFINITY”, Differential Equations, 23:5 (1987), 569-576
34.
A. V. Domrin, M. A. Shumkin, B. I. Suleimanov, “Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type”, Journal of Mathematical Physics, 63:2 (2022), 023501 (2022) (Published online) , 18 pp. https://aip.scitation.org/doi/10.1063/5.0075416, arXiv: https://arxiv.org/abs/2110.09858
B. I. Suleimanov, “Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom”, St. Petersburg Math. J., 33:6 (2022), 995–1009
36.
B. I. Suleimanov, “On the Solution of Boundary-Value Problems of Kolmogorov–Petrovskii–Piskunov Type”, Math. Notes, 83:4 (2008), 564–572
37.
A. M. Il'in, B. I. Suleimanov, “Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe. II. Large values of the parameter $t$”, Sb. Math., 198:9 (2007), 1299–1324
38.
B. I. Suleimanov, “On some typical features of motion with damping in the case of smooth inhomogeneity”, Doklady Mathematics, 73, no. 2, 2006, 299–301
A. M. Il'in, B. I. Suleimanov, “The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems”, Dal'nevost. Mat. Zh., 4:1 (2003), 78–85
40.
A. M. Il'in, B. I. Suleimanov, “The asymptotics of the Green function for a second-order elliptic equation near the boundary of the domain”, Math. USSR-Izv., 23:3 (1984), 579–594
41.
B. I. Suleimanov, A. M. Shavlukov, “Tipichnaya provalnaya osobennost sborki reshenii uravnenii dvizheniya
odnomernogo izoentropicheskogo gaza”, Izvestiya RAN. Seriya fizicheskaya., T. 84:# 5 (2020), S. 664–666.
42.
A. M. Il'in, B. I. Suleimanov, “On two special functions related to fold singularities”, Doklady Mathematics, 66, no. 3, 2002, 327–329
43.
A. M. Il'in, B. I. Sulei'manov, “On two special functions associated with cusp-type singularities”, Dokl. Akad. Nauk, 387, no. 2, 2002
44.
O. M. Kiselev, B. I. Suleimanov, “The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative”, 1999, arXiv: solv-int/9902004
45.
V. R. Kudashev, B. I. Suleimanov, “One-Parametric Family of the Double-Scaling Limits in the Hermitian Matrix Model $\Phi^6$: Onset of Nondissipative Shock Waves”, 1998, arXiv: hep-th/9811007
46.
V. R. Kudashev, B. I. Suleimanov, “Characteristic features of some typical spontaneous intensity collapse processes in unstable media”, JETP Letters, 62 (1995), 358
47.
B. I. Suleimanov, “Quantization of two-gap potentials in nonperturbative string theory and oscillations of the Gurevich-Pitaevskii nondissipative shock wave”, Physics of Atomic Nuclei, 58:6 (1995)
48.
B. I. Suleimanov, “ORIGINATION OF NONDISSIPATIVE SHOCK-WAVES AND NONPERTURBATIVE GRAVITATION THEORY”, ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 105:5 (1994), 1089-1097
49.
B. I. Suleimanov, “Solution of the Korteweg-de Vries equation which arises near the breaking point in problems with a slight dispersion”, JETP Letters, 58 (1993), 849–849
50.
B. I. Suleimanov, Differ. Uravn., 26:3 (1990), 540–542
51.
B. I. Suleimanov, “On asymptotics of regular solutions for a special kind of Painlevé V equation”, Appendix, 1 (1986), 230–260
52.
B. I. Suleimanov, A. M. Shavlukov, Mat. Zametki, 116:6 (2024), 971–986 (to appear)
53.
B. I. Suleimanov, “Zeros of solutions of third-order L–A pairs and linearizable ordinary differential equations”, Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S230–S238
54.
V. E. Adler, P. Winternitz, R. N. Garifullin, A. V. Zhiber, D. Levi, A. V. Mikhailov, I. Kh. Musin, F. W. Nijhoff, V. V. Sokolov, B. I. Suleimanov, E. V. Ferapontov, A. P. Fordy, I. T. Habibullin, I. Yu. Cherdantsev, R. A. Sharipov, R. S. Yulmukhametov, “In memory of Yamilov Ravil Islamovich”, Ufa Math. J., 12:3 (2020), 119–120
Contact us: