1. |
Sharipov R. A. Finite-gap analogs of N-multiplet solutions of
KdV equation, Uspehi Mat. Nauk, 41(1986), No. 5, 203-204. |
2. |
Sharipov R. A. Soliton multiplets of Korteweg-de Vries equation,
Dokladi AN SSSR, 292(1987), No. 6, 1356-1359. |
3. |
Sharipov R. A. Multiplet solutions of Kadomtsev-Petviashvili
equation on a finite-gap background, Uspehi Mat. Nauk, 42(1987), No. 5,
221-222. |
9. |
Sharipov R. A. & Yamilov R. I. Backlund transformations
and the construction of the integrable boundary value problem for the equation
uxt=eu-e-2u, in book "Some problems of mathematical
physics and asymptotics of its solutions", Institute of mathematics BNC UrO AN SSSR, 1991, 66-77.
|
10. |
Sharipov R. A. Minimal tori in five-dimensional sphere in
$C^3$, TMF, 87(1991), No. 1, 48-56. |
11. |
Safin S. S. & Sharipov R. A. Backlund autotransformation
for the equation uxt=eu-e-2u, TMF, 95(1993),
No. 1, 146-159.
|
12. |
Boldin A. Yu.
& Safin S. S. & Sharipov R. A. On an old paper of Tzitzeika and the inverse
scattering method, Journal of Mathematical Physics, 34(1993), No. 12,
5801-5809. |
13. |
Boldin A. Yu.
& Sharipov R. A. Dynamical systems, accepting the normal shift, TMF,
97(1993), No. 3, 386-395. |
14. |
Boldin A. Yu.
& Sharipov R. A. Dynamical systems, accepting the normal shift, Dokladi RAN,
334(1994), No. 2, 165-167. |
15. |
Boldin A. Yu.
& Sharipov R. A. Multidimensional dynamical systems, accepting the normal shift, TMF,
100(1994), No. 2, 264-269. |
16. |
Sharipov R. A. Problem of metrizability for the dynamical systems,
accepting the normal shift, TMF, 101(1994), No. 1, 85-93. |
17. |
Sharipov R. A. Dynamical systems, accepting the normal shift,
Uspehi Mat. Nauk, 49(1994), No. 4, 105. |
18. |
Boldin A. Yu.
& Dmitrieva V. V.
& Safin S. S. & Sharipov R. A. Dynamical systems accepting the normal shift on
an arbitrary Riemannian manifold, in book: "Dynamical systems accepting the normal shift",
Bashkir State University, 1994, 4-19; see also TMF, 103(1995), No. 2, 256-266. |
19. |
Boldin A. Yu.
& Bronnikov A. A. & Dmitrieva V. V.
& Sharipov R. A. Complete normality conditions for the dynamical systems on
Riemannian manifolds, in book: "Dynamical systems accepting the normal shift",
Bashkir State University, 1994, 20-30; see also TMF, 103(1995), No. 2, 267-275. |
20. |
Sharipov R. A. Higher dynamical systems accepting the normal
shift, in book: "Dynamical systems accepting the normal shift", Bashkir State University,
1994, 41-65. |
22. |
Bronnikov A. A. & Sharipov R. A. Axially symmetric
dynamical systems accepting the normal shift in $R^n$, in book: "Integrability
in dynamical systems", Inst. of Math. UrO RAN, Ufa, 1994, 62-69. |
23. |
Sharipov R. A. Metrizability by means of conformally equivalent
metric for the dynamical systems, in book: "Integrability in dynamical systems",
Inst. of Math. UrO RAN, Ufa, 1994, 80-90; see also TMF, 103(1995), No. 2,
276-282. |
24. |
Sharipov R. A. & Sukhov A. B. On CR-mappings between
algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions,
Trans. of American Math. Society, 348(1996), No. 2, 767�780; see also Dokladi RAN,
350(1996), No. 4, 453-454. |
25. |
Sharipov R. A. & Tsyganov E. N. On the separate algebraicity
along the families of algebraic curves, Preprint of Baskir State University, Ufa,
1996, 1-7; see also Mat. Zametki, 68(2000), No. 2, 294-302. |
28. |
Dmitrieva V. V. & Sharipov R. A. On the point transformations
for the second order differential
equations, Electronic archive http://arXiv.org, 1997, solv-int/9703003, 1-14. |
29. |
Sharipov R. A. On the point transformations for the equation $y''=P+
3Qy'+3Ry'^2+Sy'^3$, Electronic archive http://arXiv.org, 1997, solv-int/9706003, 1-35; see also
Vestnik BashGU, 1998, No. 1(I), 5-8. |
30.
| Mikhailov O. N. & Sharipov R. A. On the point expansion for
certain class of differential equations of second order, Electronic archive http://arXiv.org, 1997,
solv-int/9712001, 1-8; Diff. Uravneniya, 36(2000), No. 10, 1331-1335. |
31. |
Sharipov R. A. Effective procedure of point-classification for the
equation $y'' = P + 3Qy' + 3Ry'^2 + Sy'^3$, Electronic archive http://arXiv.org, 1998, math.DG/9802027,
1-35. |
39. |
Sharipov R. A. On the solutions of weak normality equations in
multidimensional case, Electronic archive http://arXiv.org, 2000, math.DG/0012110, 1-16.
|
40.
| Sharipov R. A. First problem of globalization in the theory of
dynamical systems admitting the normal shift of hypersurfaces, Electronic archive at
LANL, 2001, math.DG/0101150, 1-14; see also Global geometric structures associated with
dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds,
International Journal of Mathematics and
Mathematical Sciences, 30(2002) No. 9, 541-557.
|
41.
| Sharipov R. A. Second problem of globalization in the theory
of dynamical systems admitting the normal shift of hypersurfaces, Electronic archive
http://arXiv.org, 2001, math.DG/0102141, 1-21.
|
42.
| Sharipov R. A. A note on Newtonian, Lagrangian, and
Hamiltonian dynamical systems in Riemannian manifolds, Electronic archive
http://arXiv.org, 2001, math.DG/0107212, 1-21. |
43.
| Sharipov R. A. Dynamical systems admitting normal shift
and wave equations, Electronic archive http://arXiv.org, 2001, math.DG/0108158, 1-16;
see also TMF, 131(2002), No. 2, 244-260. |
44.
| Sharipov R. A. Normal shift in general Lagrangian dynamics,
Electronic archive http://arXiv.org, 2001, math.DG/0112089, 1-27. |
46.
| Sharipov R. A. Comparative analysis for pair of dynamical systems,
one of which is Lagrangian, Electronic archive http://arXiv.org, 2002, math.DG/0204161, 1-40. |
47.
| Sharipov R. A. On the concept of normal shift in non-metric geometry,
Electronic archive http://arXiv.org, 2002, math.DG/0208029, 1-47. |
48.
| Sharipov R. A. V-representation for normality equations in geometry of
generalized Legendre transformation, Electronic archive http://arXiv.org, 2002, math.DG/0210216,
1-32. |
49.
| Sharipov R. A. On the subset of normality equations describing generalized Legendre transformation,
Electronic archive http://arXiv.org, 2002, math.DG/0212059,1-19. |
50. |
Lyuksyutov S. F. & Sharipov R. A. Note on kinematics, dynamics, and thermodynamics of plastic
glassy media, Electronic archive http://arXiv.org, 2003, cond-mat/0304190, 1-19. |
51. |
Lyuksyutov S. F. & Sharipov R. A. & Sigalov G. & Paramonov P. B. Exact analytical
solution for electrostatic field produced by biased atomic force microscope tip dwelling above dielectric-conductor
bilayer, Electronic archive http://arXiv.org, 2004, cond-mat/0408247, 1-6. |
52. |
Lyuksyutov S. F. & Sharipov R. A. Separation of plastic deformations in
polymers based on elements of general nonlinear theory, Electronic archive
http://arXiv.org, 2004, cond-mat/0408433, 1-4. |
53. |
Comer J. & Sharipov R. A. A note on the kinematics of dislocations in crystals, Electronic
archive http://arXiv.org, 2004, math-ph/0410006, 1-15. |
54.
| Sharipov R. A. Gauge or not gauge? Electronic
archive http://arXiv.org, 2004, cond-mat/0410552,
1-12. |
55.
| Sharipov R. A. Burgers space versus real space in the nonlinear theory of dislocations, Electronic
archive http://arXiv.org, 2004, cond-mat/0411148,
1-10. |
56.
| Comer J. & Sharipov R. A. On the geometry of a dislocated medium, Electronic
archive http://arXiv.org, 2005, math-ph/0502007,
1-17. |
59.
| Sharipov R. A. Spinor functions of spinors and the concept of extended spinor fields, Electronic
archive http://arXiv.org, 2005,
math.DG/0511350, 1-56. |
60.
| Sharipov R. A. Commutation relationships and curvature spin-tensors for extended spinor connections, Electronic
archive http://arXiv.org, 2005,
math.DG/0512396, 1-22. |
61.
| Sharipov R. A. A note on Dirac spinors in a non-flat space-time of general relativity, Electronic
archive http://arXiv.org, 2006,
math.DG/0601262, 1-22. |
62.
| Sharipov R. A. A note on metric connections for chiral and Dirac spinors, Electronic
archive http://arXiv.org, 2006,
math.DG/0602359, 1-40. |
63.
| Sharipov R. A. On the Dirac equation in a gravitation field
and the secondary quantization, Electronic archive http://arXiv.org, 2006, math.DG/0603367,
1-10. |
64.
| Sharipov R. A. The electro-weak and color bundles for the
Standard Model in a gravitation field, Electronic archive
http://arXiv.org, 2006,
math.DG/0603611, 1-8. |
65. | Sharipov
R. A. A note on connections of the Standard Model in a gravitation
field, Electronic archive http://arXiv.org,
2006, math.DG/0604145, 1-11. |
66. | Sharipov
R. A. A note on the Standard Model in a gravitation field, Electronic archive http://arXiv.org,
2006, math.DG/0605709, 1-36. |
70.
| Sharipov R. A. Comparison of two formulas for metric connections
in the bundle of Dirac spinors, Electronic archive http://arXiv.org,
2007, 0707.0482 [math.DG], 1-16. |
71.
| Sharipov R. A. On the spinor structure of the homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org,
2007, 0708.1171 [math.DG], 1-25. |
72.
| Sharipov R. A. On Killing vector fields of a homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org,
2007, 0708.2508 [math.DG], 1-19. |
73.
| Sharipov R. A. On deformations of metrics and their associated spinor structures, Electronic archive http://arXiv.org,
2007, 0709.1460 [math.DG], 1-22. |
1. |
Sharipov R. A. Theory of representations of finite groups,
Bash-NII-Stroy, Ufa, 1995 (both English
and Russian versions are now available on-line).
|
2. |
Sharipov R. A. Course of linear algebra and multidimensional
geometry, Bashkir State University, Ufa, 1996,
(both English and
Russian versions of the book are now available on-line).
|
3. |
Sharipov R. A. Course of differential geometry,
Bashkir State University, Ufa, 1996 (both English
and Russian versions of the book are now
available on-line).
|
4. |
Sharipov R. A. Classical electrodynamics and theory
of relativity, Bashkir State University, Ufa, 1996
(both English and
Russian versions of the book are now available on-line).
|
5. |
Sharipov R. A. Foundations of geometry
for university students and high-school students, Bashkir State University, 1998
(both English and
Russian versions of the book are now available on-line).
|
6. |
Sharipov R. A. Quick introduction to tensor analysis,
free on-line textbook, 2004
(both English and
Russian versions are now available).
|