I have interests in mathematics, theoretical physics, medicine, and chemistry:
1) soliton theory;
2) geometry of normal shift;
3) mathematical analysis and theory of functions;
4) symmetries and invariants;;
5) general algebra;
6) solid state physics;
7) tensor analysis;
8) particles and fields;
9) number theory;
10) spectral theory of operators;
11) ultra-high-rise construction;
12) non-Einsteinian theory of gravity;
13) medical equipment;
14) chemistry and chemical technology.
Biography
In 1983 I have graduated from the Moscow Institute of Physics and Technology (MIPT), Department of General and Applied Physics (DGAP), chair of Solid State Physics (ISSP). However, later I entered the graduate school of the Steklov Mathematical Institute of the USSR Academy of Sciences and continued my career in the field of mathematics. I studied the theory of solitons and soliton equations. I have obtained explicit formulas for multiplet solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations both in the rational case and for such solutions on a finite-zone (algebraic-geometric) background. This formed the material of my PhD thesis, which I have defended in 1989.
Since 1987 up to the present time I have been living and working in the city of Ufa at the Bashkir State University, which in 2022 merged with the Ufa Aviation Technical University and was named the Ufa University of Science and Technology.
In 1998, I received a grant from the George Soros Foundation and was awarded the title of Soros Associate Professor.
In 2003-2004, at the invitation of S.F. Lyuksyutov, I worked for 3 months at The University of Akron in the USA under the program of cooperation with the CIS countries.
In 2022, I have invented a non-Einsteinian theory of gravity, which I called the "3D-brane universe model". Now I am working on its development and seeking its recognition.
Main publications:
Sharipov R. A. Effective procedure of point-classification for the equation $y''=P+3Qy'+3Ry'^2+Sy'^3$, Electronic archive at LANL (http://arXiv.org), 1998, math.DG/9802027, 1–35.
Sharipov R. A., 3D-brane universe model, part I, Ufa 2024.
R. A. Sharipov, Model vselennoi kak 3D-brany. Monografiya, chast I, Kniga yavlyaetsya pervoi iz serii knig, v kotorykh izlagaetsya novaya neeinshteinovskaya teoriya gravitatsii, poluchivshaya nazvanie «Model vselennoi kak 3D-brany», Ufa, 2024 (Published online) , 122 pp. Shr10brus.pdf
2020
2.
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
2021
3.
R. A. Sharipov, “Symmetry-Based Approach to the Problem of a Perfect Cuboid”, J. Math. Sci. (N. Y.), 252:2 (2021), 266–282
2020
4.
R. A. Sharipov, “Multiple discriminants and extreme values of polynomials of several variables”, Journal of Mathematical Sciences, 245:1 (2020), 89–97
2015
5.
R. A. Sharipov, “Asymptotic approach to the perfect cuboid problem”, Ufa Math. J., 7:3 (2015), 95–107
6.
R. A. Sharipov, “On a problem associated with approximation by exponential functions”, Ufa Math. J., 7:1 (2015), 83–94
2012
7.
R. A. Sharipov, “Perfect cuboids and irreducible polynomials”, Ufimsk. Mat. Zh., 4:1 (2012), 153–160
2010
8.
R. A. Sharipov, “A counterexample to Khabibullin's conjecture for integral inequalities”, Ufimsk. Mat. Zh., 2:4 (2010), 99–107
2007
9.
R. A. Sharipov, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 1, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 276–279
2002
10.
R. A. Sharipov, “Dynamic Systems Admitting the Normal Shift and Wave Equations”, Theoret. and Math. Phys., 131:2 (2002), 651–665
2001
11.
R. A. Sharipov, “Newtonian normal shift in multidimensional Riemannian geometry”, Sb. Math., 192:6 (2001), 895–932
2004
12.
R. A. Sharipov, “Newtonian dynamical systems admitting normal blow-up of points”, J. Math. Sci. (N. Y.), 119:2 (2004), 281–291
2000
13.
O. N. Mikhailov, R. A. Sharipov, “The geometry of point extensions of a class of second-order differential equations”, Differ. Equ., 36:10 (2000), 1469–1474
14.
R. A. Sharipov, E. N. Ciganov, “Separate algebraicity along families of algebraic curves”, Math. Notes, 68:2 (2000), 255–262
15.
A. V. Gladkov, V. V. Dmitrieva, R. A. Sharipov, “Some nonlinear equations reducible to diffusion-type equations”, Theoret. and Math. Phys., 123:1 (2000), 436–445
1999
16.
A. Yu. Boldin, R. A. Sharipov, “On the solution of normality equations in dimension $n\ge 3$”, St. Petersburg Math. J., 10:4 (1999), 603–618
1996
17.
A. B. Sukhov, R. A. Sharipov, “On the algebraicity of holomorphic mappings”, Dokl. Akad. Nauk, 350:4 (1996), 453–454
18.
M. V. Pavlov, S. I. Svinolupov, R. A. Sharipov, “Invariant Integrability Criterion for Equations of Hydrodynamic Type”, Funct. Anal. Appl., 30:1 (1996), 15–22
19.
E. V. Ferapontov, R. A. Sharipov, “On first-order conservation laws for systems of hydronamic type equations”, Theoret. and Math. Phys., 108:1 (1996), 937–952
1995
20.
R. A. Sharipov, “Metrizability of dynamical systems by a conformally equivalent metric”, Theoret. and Math. Phys., 103:2 (1995), 556–560
21.
A. Yu. Boldin, A. A. Bronnikov, V. V. Dmitrieva, R. A. Sharipov, “Complete normality conditions for the dynamical systems on Riemannian manifolds”, Theoret. and Math. Phys., 103:2 (1995), 550–555
22.
A. Yu. Boldin, V. V. Dmitrieva, S. S. Safin, R. A. Sharipov, “Dynamical systems on a Riemannian manifold that admit normal shift”, Theoret. and Math. Phys., 103:2 (1995), 543–549
1994
23.
A. Yu. Boldin, R. A. Sharipov, “Dynamical systems that admit normal shift”, Dokl. Math., 39:1 (1994), 49–51
24.
R. A. Sharipov, “The problem of metrizability of dynamical systems that admit normal shift”, Theoret. and Math. Phys., 101:1 (1994), 1218–1223
25.
A. Yu. Boldin, R. A. Sharipov, “Multidimensional dynamical systems accepting the normal shift”, Theoret. and Math. Phys., 100:2 (1994), 997–1000
1993
26.
A. Yu. Boldin, R. A. Sharipov, “Dynamical systems that admit normal displacement”, Theoret. and Math. Phys., 97:3 (1993), 1364–1369
27.
S. S. Safin, R. A. Sharipov, “Bäcklund autotransformation for the equation $u_{xt}=e^u-e^{-2u}$”, Theoret. and Math. Phys., 95:1 (1993), 462–470
1991
28.
R. A. Sharipov, “Minimal tori in the five-dimensional sphere in $\mathbb C^3$”, Theoret. and Math. Phys., 87:1 (1991), 363–369
1990
29.
R. A. Sharipov, “Integration of Bogoyavlenskii chains”, Math. Notes, 47:1 (1990), 101–103
30.
I. Yu. Cherdantsev, R. A. Sharipov, “Finite-gap solutions of the Bullough–Dodd–Zhiber–Shabat equation”, Theoret. and Math. Phys., 82:1 (1990), 108–11
1989
31.
R. F. Bikbaev, R. A. Sharipov, “Asymptotics at $t\to\infty$ of the solution to the Cauchy problem for the Korteweg–de Vries equation in the class of potentials with finite-gap behavior as $x\to\pm\infty$”, Theoret. and Math. Phys., 78:3 (1989), 244–252
1987
32.
R. A. Sharipov, “Soliton multiplets of the Kortweg–de Vries equation”, Dokl. Akad. Nauk SSSR, 292:6 (1987), 1356–1359
33.
R. A. Sharipov, “Multiplet solutions of the Kadomtsev–Petviashvili equation against a finite-zone background”, Russian Math. Surveys, 42:5 (1987), 177–178
1986
34.
R. A. Sharipov, “Finite-zone analogues of $N$-multiplet solutions of the Korteweg–de Vries equation”, Russian Math. Surveys, 41:5 (1986), 165–166
2024
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