Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Bogoyavlenskii, Oleg Igorevich
(1948–2024)
Total publications: 154 (151)
in MathSciNet: 146 (145)
in zbMATH: 110 (110)
in Web of Science: 77 (77)
in Scopus: 84 (84)
Cited articles: 88
Citations: 1697
Presentations: 1

Number of views:
This page:7193
Abstract pages:23180
Full texts:9410
References:2360
Doctor of physico-mathematical sciences
Birth date: 21.11.1948
Website: http://www.mast.queensu.ca/people/profiles/oleg.php

https://www.mathnet.ru/eng/person8578
List of publications on Google Scholar
https://zbmath.org/authors/ai:bogoyavlenskij.oleg-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/196896

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2021
1. Oleg Bogoyavlenskij, Yuyang Peng, “Exact Solutions to the Beltrami Equation with a Non-constant $\alpha (\mathbf{x})$”, Regul. Chaotic Dyn., 26:6 (2021), 692–699  mathnet  crossref  mathscinet  isi  scopus;

   2020
2. Oleg I. Bogoyavlenskij, Yuyang Peng, “Autotransforms for Some Differential Equations and Their Physical Applications”, Regul. Chaotic Dyn., 25:6 (2020), 544–552  mathnet  crossref  mathscinet  isi  scopus;

   2011
3. A. P. Reynolds, O. I. Bogoyavlenskij, “Lie algebra structures for four-component Hamiltonian hydrodynamic type systems”, J. Geom. Phys., 61:12 (2011), 2400–2409  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 1

   2010
4. O. I. Bogoyavlenskij, A. P. Reynolds, “Criteria for existence of a Hamiltonian structure”, Regul. Chaotic Dyn., 15:4-5 (2010), 431–439  mathnet  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  scopus 5
5. O. Bogoyavlenskij, “Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria”, J. Engrg. Math., 66:1-3 (2010), 141–152  crossref  mathscinet  zmath  isi  scopus 6

   2009
6. O. Bogoyavlensky, “Method of descent for integrable lattices”, J. Math. Phys., 50:5 (2009), 053517 , 11 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 2

   2008
7. O. I. Bogoyavlenskij, “Integrable Lotka-Volterra systems”, Regul. Chaotic Dyn., 13:6 (2008), 543–556  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 24
8. O. Bogoyavlenskij, P. Reynolds, “Form-invariant Poisson brackets of hydrodynamic type with several spatial variables”, J. Math. Phys., 49:5 (2008), 053520 , 15 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 2
9. O. Bogoyavlenskij, Y. Itoh, T. Yukawa, “Lotka-Volterra systems integrable in quadratures”, J. Math. Phys., 49:5 (2008), 053501 , 6 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 5
10. O. I. Bogoyavlenskij, “Tensor invariants of the Poisson brackets of hydrodynamic type”, Comm. Math. Phys., 277:2 (2008), 369–384  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 2

   2007
11. O. I. Bogoyavlenskij, “Algebraic identity for the Schouten tensor and bi-Hamiltonian systems”, Differential Geom. Appl., 25:5 (2007), 452–460  crossref  mathscinet  zmath  isi  scopus 1
12. O. I. Bogoyavlenskij, “Invariant foliations for the Poisson brackets of hydrodynamic type”, Phys. Lett. A, 360:4-5 (2007), 539–544  crossref  mathscinet  adsnasa  isi  elib  scopus 7
13. O. I. Bogoyavlenskij, “Decoupling problem for systems of quasi-linear pde's”, Comm. Math. Phys., 269:2 (2007), 545–556  crossref  mathscinet  adsnasa  isi  scopus 7

   2006
14. O. I. Bogoyavlenskij, “Algebraic identities for the Nijenhuis tensors”, Differential Geom. Appl., 24:5 (2006), 447–457  crossref  mathscinet  isi  elib  scopus 11
15. O. I. Bogoyavlenskij, “Block-diagonalizability problem for hydrodynamic type systems”, J. Math. Phys., 47:6 (2006), 063502 , 9 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
16. O. Bogoyavlenskij, “Differential-geometric invariants of the Hamiltonian systems of PDE's”, Comm. Math. Phys., 265:3 (2006), 805–817  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
17. O. I. Bogoyavlenskij, “Schouten tensor and bi-Hamiltonian systems of hydrodynamic type”, J. Math. Phys., 47:2 (2006), 023504 , 14 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 2

   2005
18. O. Bogoyavlenskij, B. Fuchssteiner, “Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum”, J. Geom. Phys., 54:3 (2005), 324–338  crossref  mathscinet  zmath  adsnasa  isi  scopus 13
19. O. I. Bogoyavlenskij, “Hidden structure of the Lie algebra of symmetries”, C. R. Math. Acad. Sci. Soc. R. Can., 27:1 (2005), 14–19  mathscinet  zmath
20. O. I. Bogoyavlenskij, “Hidden structure of symmetries”, Comm. Math. Phys., 254:2 (2005), 479–488  crossref  mathscinet  zmath  adsnasa  isi  scopus
21. O. I. Bogoyavlenskii, “Necessary conditions for the decoupling of systems of PDEs of arbitrary order”, Russian Math. Surveys, 60:1 (2005), 159–160  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2004
22. O. Bogoyavlenskij, B. Fuchssteiner, “Viscous MHD solutions with no transfer of energy through the spectrum”, Rep. Math. Phys., 54:1 (2004), 115–130  crossref  mathscinet  zmath  adsnasa  isi  scopus
23. O. Bogoyavlenskij, B. Fuchssteiner, “Exact MHD solutions with crystallographic symmetries and non-interacting Fourier modes”, Phys. Lett. A, 331:1-2 (2004), 53–59  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
24. A. F. Cheviakov, O. I. Bogoyavlenskij, “Exact anisotropic MHD equilibria”, J. Phys. A, 37:30 (2004), 7593–7607  crossref  mathscinet  zmath  adsnasa  isi  scopus 16
25. O. I. Bogoyavlenskij, “Unsteady equipartition MHD solutions”, J. Math. Phys., 45:1 (2004), 381–390  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
26. O. I. Bogoyavlenskii, “General algebraic identities for the Nijenhuis and Haantjes tensors”, Izv. Math., 68:6 (2004), 1129–1141  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
27. O. I. Bogoyavlenskii, “Hidden structure of symmetries”, Russian Math. Surveys, 59:4 (2004), 787–789  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2003
28. O. I. Bogoyavlenskij, “Unsteady equipartition solutions to the viscous MHD equations”, C. R. Math. Acad. Sci. Soc. R. Can., 25:4 (2003), 102–107  mathscinet  zmath
29. O. I. Bogoyavlenskij, “Exact unsteady solutions to the Navier-Stokes and viscous MHD equations”, Phys. Lett. A, 307:5-6 (2003), 281–286  crossref  mathscinet  zmath  adsnasa  isi  scopus 28
30. O. I. Bogoyavlenskii, “Infinite families of exact periodic solutions to the Navier–Stokes equations”, Mosc. Math. J., 3:2 (2003), 263–272  mathnet  crossref  mathscinet  zmath  isi 13

   2002
31. O. I. Bogoyavlenskij, “New symmetries of the magnetohydrodynamics equilibrium equations”, Progress in nonlinear science (Nizhny Novgorod, 2001), Vol. 1, RAS, Inst. Appl. Phys., Nizhniĭ Novgorod, 2002, 39–47  mathscinet
32. O. I. Bogoyavlenskij, “Method of symmetry transforms for ideal MHD equilibrium equations”, The legacy of the inverse scattering transform in applied mathematics (South Hadley, MA, 2001), Contemp. Math., 301, Amer. Math. Soc., Providence, RI, 2002, 195–218  crossref  mathscinet  zmath  isi 7
33. O. I. Bogoyavlenskij, “Symmetry transforms for ideal magnetohydrodynamics equilibria”, Phys. Rev. E (3), 66:5 (2002), 056410 , 11 pp.  crossref  mathscinet  adsnasa  isi  scopus 22
34. O. I. Bogoyavlenskij, “Exact solutions to the Navier-Stokes equations”, C. R. Math. Acad. Sci. Soc. R. Can., 24:4 (2002), 138–143  mathscinet  zmath

   2001
35. O. I. Bogoyavlenskij, “Infinite symmetries of the ideal MHD equilibrium equations”, Phys. Lett. A, 291:4-5 (2001), 256–264  crossref  mathscinet  zmath  adsnasa  isi  scopus 30
36. O. I. Bogoyavlenskij, “Axially and helically symmetric global plasma equilibria”, Nonlinear dynamics and renormalization group (Montreal, QC, 1999), CRM Proc. Lecture Notes, 27, Amer. Math. Soc., Providence, RI, 2001, 41–50  crossref  mathscinet  zmath

   2000
37. O. I. Bogoyavlenskij, “Canonical forms for the $C$-invariant tensors”, Calogero-Moser-Sutherland models (Montréal, QC, 1997), CRM Ser. Math. Phys., Springer, New York, 2000, 65–76  mathscinet
38. O. I. Bogoyavlenskij, “Helically symmetric astrophysical jets”, Phys. Rev. E (3), 62:6 (2000), 8616–8627  crossref  mathscinet  adsnasa  isi  scopus 28
39. O. I. Bogoyavlenskij, “MHD model of astrophysical jets”, Phys. Lett. A, 276:5-6 (2000), 257–266  crossref  mathscinet  zmath  adsnasa  isi  scopus 15
40. O. I. Bogoyavlenskij, “Exact axially symmetric MHD equilibria”, C. R. Acad. Sci. Paris Sér. I Math., 331:7 (2000), 569–574  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
41. O. I. Bogoyavlenskij, “Exact helically symmetric plasma equilibria”, Lett. Math. Phys., 51:4 (2000), 235–247  crossref  mathscinet  zmath  adsnasa  isi  scopus 6
42. O. I. Bogoyavlenskij, “Counterexamples to the theorem of Parker”, C. R. Math. Acad. Sci. Soc. R. Can., 22:2 (2000), 86–91  mathscinet  zmath
43. O. I. Bogoyavlenskij, “Counterexamples to Parker's theorem”, J. Math. Phys., 41:4 (2000), 2043–2057  crossref  mathscinet  zmath  adsnasa  isi  scopus 9
44. O. I. Bogoyavlenskii, “Exact global plasma equilibria”, Russian Math. Surveys, 55:3 (2000), 463–500  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1999
45. O. I. Bogoyavlenskij, “Courant's problems and their extensions”, Hyperbolic problems: theory, numerics, applications (Zürich, 1998), Vol. I, Internat. Ser. Numer. Math., 129, Birkhäuser, Basel, 1999, 97–104  mathscinet  zmath
46. O. I. Bogoyavlenskii, “Cohomology rings for smooth maps”, Russian Math. Surveys, 54:1 (1999), 9–19  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1998
47. O. I. Bogoyavlenskii, “Algebraicheskie svoistva master-simmetrii i ikh primeneniya”, Dokl. RAN, 360:4 (1998), 445–447  mathnet  mathscinet  zmath  isi
48. O. I. Bogoyavlenskii, “Neobkhodimye i dostatochnye usloviya dlya dvukh kontseptsii nevyrozhdennosti po Puankare integriruemykh Gamiltonovykh sistem”, Dokl. RAN, 360:3 (1998), 295–298  mathnet  mathscinet  zmath  isi 2
49. O. I. Bogoyavlenskij, “Conformal symmetries of dynamical systems and Poincaré 1892 concept of iso-energetic non-degeneracy”, C. R. Acad. Sci. Paris Sér. I Math., 326:2 (1998), 213–218  crossref  mathscinet  zmath  adsnasa  isi  scopus 6
50. O. I. Bogoyavlenskij, “Extended integrability and bi-Hamiltonian systems”, Comm. Math. Phys., 196:1 (1998), 19–51  crossref  mathscinet  zmath  adsnasa  isi  scopus 80
51. O. I. Bogoyavlenskii, “Canonical forms for the invariant tensors and $A$-$B$-$C$-cohomologies of integrable Hamiltonian systems”, Sb. Math., 189:3 (1998), 315–357  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   1997
52. O. I. Bogoyavlenskij, “Theory of tensor invariants of integrable Hamiltonian systems. II. Theorem on symmetries and its applications”, Comm. Math. Phys., 184:2 (1997), 301–365  crossref  mathscinet  zmath  adsnasa  isi  scopus 16

   1996
53. O. I. Bogoyavlenskij, “Necessary conditions for existence of non-degenerate Hamiltonian structures”, Comm. Math. Phys., 182:2 (1996), 253–289  crossref  mathscinet  zmath  adsnasa  isi  scopus 20
54. O. I. Bogoyavlenskij, “The $A$-$B$-$C$-cohomologies for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:5 (1996), 199–204  mathscinet  zmath
55. O. I. Bogoyavlenskij, “A concept of integrability of dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:4 (1996), 163–168  mathscinet  zmath
56. O. I. Bogoyavlenskij, “Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures”, Comm. Math. Phys., 180:3 (1996), 529–586  crossref  mathscinet  zmath  adsnasa  isi  scopus 24
57. O. I. Bogoyavlenskij, “Separation of rotations of coupled gyrostats”, Mechanics day (Waterloo, ON, 1992), Fields Inst. Commun., 7, Amer. Math. Soc., Providence, RI, 1996, 93–106  mathscinet  zmath

   1995
58. O. I. Bogoyavlenskij, “A cohomology for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:6 (1995), 253–258  mathscinet  zmath
59. O. I. Bogoyavlenskij, “Lie algebraic invariants of two compatible Poisson structures”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 129–134  mathscinet  zmath
60. O. I. Bogoyavlenskij, “Incompatible Poisson structures and integrable Hamiltonian systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 123–128  mathscinet  zmath
61. O. I. Bogoyavlenskij, “Necessary conditions for the existence of conservation laws for systems of partial differential equations”, Theoretical Physics (Munich, 1993), Sympos. Gaussiana, de Gruyter, Berlin, 1995, 359–375  mathscinet  zmath

   1994
62. O. I. Bogoyavlenskij, “Systems of hydrodynamic type, connected with the Toda lattice and the Volterra model”, Hamiltonian and gradient flows, algorithms and control, Fields Inst. Commun., 3, Amer. Math. Soc., Providence, RI, 1994, 49–68  mathscinet  zmath

   1993
63. O. I. Bogoyavlenskii, “Systems of hydrodynamic type connected with the Toda lattice and Volterra model”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 1–33  mathscinet
64. O. I. Bogoyavlenskij, “Existence of Riemann invariants and Hamiltonian structures”, C. R. Math. Rep. Acad. Sci. Canada, 15:4 (1993), 143–148  mathscinet  zmath
65. O. I. Bogoyavlenskij, W. F. Shadwick, “Operator representations for similarity solutions of $(2+1)$-D evolution equations”, C. R. Math. Rep. Acad. Sci. Canada, 15:4 (1993), 137–142  mathscinet  zmath
66. O. I. Bogoyavlenskij, “General integrable problems of classical mechanics”, Dynamics and control of mechanical systems (Waterloo, ON, 1992), Fields Inst. Commun., 1, Amer. Math. Soc., Providence, RI, 1993, 53–73  mathscinet  zmath
67. O. I. Bogoyavlenskij, “General integrable problems of classical mechanics”, Comm. Math. Phys., 153:1 (1993), 23–47  crossref  mathscinet  zmath  adsnasa  isi  scopus 2

   1992
68. O. I. Bogoyavlenskij, “New integrable problem of classical mechanics”, La Mécanique analytique de Lagrange et son héritage, II (Turin, 1989), Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 126, suppl. 2, 1992, 1–4  mathscinet  zmath
69. O. Bogoyavlenskij, S. Benenti, “Integrable Lagrangian systems on quadrics with additional symmetries”, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 126:5-6 (1992), 187–195  mathscinet
70. O. I. Bogoyavlenskij, R. N. Henriksen, D. C. Offin, “Similarity reductions of the two-dimensional Toda lattice”, C. R. Math. Rep. Acad. Sci. Canada, 14:5 (1992), 201–206  mathscinet  zmath

   1993
71. O. I. Bogoyavlenskii, “Integrable problems of the dynamics of coupled rigid bodies”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 395–416  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1992
72. O. I. Bogoyavlenskii, “Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics”, Russian Math. Surveys, 47:1 (1992), 117–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1991
73. O. I. Bogoyavlenskii, Oprokidyvayuschiesya solitony, Nelineinye integriruemye uravneniya, Nauka, M., 1991 , 320 pp.  mathscinet
74. O. I. Bogoyavlenskij, “Breaking solitons. Systems of hydrodynamic type”, VI International Conference on Waves and Stability in Continuous Media (Acireale, 1991), Matematiche (Catania), 46, no. 1, 1991, 41–53  mathscinet  zmath

   1992
75. O. I. Bogoyavlenskii, “Breaking solitons. VI. Extension of systems of hydrodynamic type”, Math. USSR-Izv., 39:2 (1992), 959–973  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1991
76. O. I. Bogoyavlenskii, “Algebraic constructions of integrable dynamical systems-extensions of the Volterra system”, Russian Math. Surveys, 46:3 (1991), 1–64  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1992
77. O. I. Bogoyavlenskii, “Breaking solitons. V. Systems of hydrodynamic type”, Math. USSR-Izv., 38:3 (1992), 439–454  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1990
78. O. I. Bogoyavlensky, “On integrable generalizations of Volterra systems”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 165–175  crossref  mathscinet

   1991
79. O. I. Bogoyavlenskii, “Breaking solitons. IV”, Math. USSR-Izv., 37:3 (1991), 475–487  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1990
80. O. I. Bogoyavlenskii, “Breaking solitons in $2+1$-dimensional integrable equations”, Russian Math. Surveys, 45:4 (1990), 1–89  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1991
81. O. I. Bogoyavlenskii, “A theorem on two commuting automorphisms, and integrable differential equations”, Math. USSR-Izv., 36:2 (1991), 263–279  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
82. O. I. Bogoyavlenskii, “Breaking solitons. III”, Math. USSR-Izv., 36:1 (1991), 129–137  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1990
83. O. I. Bogoyavlenskii, “Breaking solitons. II”, Math. USSR-Izv., 35:1 (1990), 245–248  mathnet  crossref  mathscinet  zmath  scopus
84. O. I. Bogoyavlenskii, “Overturning solitons in new two-dimensional integrable equations”, Math. USSR-Izv., 34:2 (1990), 245–259  mathnet  crossref  mathscinet  zmath  scopus

   1988
85. O. I. Bogoyavlensky, “Five constructions of integrable dynamical systems connected with the Korteweg-de Vries equation”, Acta Appl. Math., 13:3 (1988), 227–266  mathscinet  zmath  isi  scopus
86. O. I. Bogoyavlensky, “Integrable discretizations of the KdV equation”, Phys. Lett. A, 134:1 (1988), 34–38  crossref  mathscinet  adsnasa  isi  scopus 121

   1989
87. O. I. Bogoyavlenskii, “Algebraic constructions of certain integrable equations”, Math. USSR-Izv., 33:1 (1989), 39–65  mathnet  crossref  mathscinet  zmath  scopus
88. O. I. Bogoyavlenskii, “The Lax representation with a spectral parameter for certain dynamical systems”, Math. USSR-Izv., 32:2 (1989), 245–268  mathnet  crossref  mathscinet  zmath  scopus

   1987
89. A. M. Anile, G. Moschetti, O. I. Bogoyavlenski, “Some solutions of Einstein's equations with shock waves”, J. Math. Phys., 28:12 (1987), 2942–2948  crossref  mathscinet  zmath  adsnasa  isi  scopus 5
90. O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera. II”, Dokl. AN SSSR, 292:2 (1987), 318–322  mathnet  mathscinet  zmath  adsnasa  isi 1

   1988
91. O. I. Bogoyavlenskii, “Integrable dynamical systems associated with the KdV equation”, Math. USSR-Izv., 31:3 (1988), 435–454  mathnet  crossref  mathscinet  zmath  scopus
92. O. I. Bogoyavlenskii, “Some constructions of integrable dynamical systems”, Math. USSR-Izv., 31:1 (1988), 47–75  mathnet  crossref  mathscinet  zmath  scopus

   1987
93. O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations. II”, Dokl. Akad. Nauk SSSR, 292:2 (1987), 318–322  mathnet  mathscinet  zmath

   1988
94. O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Boundary value problems of mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 65–105  mathnet  mathscinet  zmath

   1986
95. O. I. Bogoyavlenskii, “Integrable cases of equations of the rotation of a rigid body in axisymmetric force fields”, Dokl. AN SSSR, 288:3 (1986), 593–596  mathnet  mathscinet  zmath  isi
96. O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. AN SSSR, 288:2 (1986), 327–331  mathnet  mathscinet  isi 1
97. O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera”, Dokl. AN SSSR, 287:5 (1986), 1105–1109  mathnet  mathscinet  zmath  adsnasa  isi 12
98. O. I. Bogoyavlensky, “Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids”, Comm. Math. Phys., 103:2 (1986), 305–322  crossref  mathscinet  adsnasa  isi  scopus 3
99. O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations”, Dokl. Akad. Nauk SSSR, 287:5 (1986), 1105–1109  mathnet  mathscinet  zmath
100. O. I. Bogoyavlenskii, “Integrable cases of equations of the rotation of a rigid body in axisymmetric force fields”, Dokl. Akad. Nauk SSSR, 288:3 (1986), 593–596  mathnet  mathscinet  zmath
101. O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. Akad. Nauk SSSR, 288:2 (1986), 327–331  mathnet  mathscinet

   1985
102. O. I. Bogoyavlenskii, “Integrable cases of the rotation of a rigid body around a fixed point in physical fields”, Numerical mathematics and mathematical physics, Mosk. gos. ped. in-t, M., 1985, 21–24 (Russian)  mathscinet
103. O. I. Bogoyavlenskii, “New integrable cases of Euler's equations”, J. Appl. Math. Mech., 49:1 (1985), 1–5 (1986)  crossref  mathscinet  zmath  isi  scopus
104. O. I. Bogoyavlensky, “Periodic solutions in a model of pulsar rotation”, Comm. Math. Phys., 102:3 (1985), 349–359  crossref  mathscinet  adsnasa  isi  scopus 1
105. O. I. Bogoyavlensky, Methods in the qualitative theory of dynamical systems in astrophysics and gas dynamics, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1985 , ix+301 pp.  crossref  mathscinet  zmath  adsnasa 104
106. O. I. Bogoyavlensky, “Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions”, Astronom. Nachr., 306:1 (1985), 35–41  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1986
107. O. I. Bogoyavlenskii, “On the question of the existence of a fourth integral of the Euler equations”, Math. USSR-Izv., 27:3 (1986), 609  mathnet  crossref  mathscinet  zmath  scopus
108. O. I. Bogoyavlenskii, “Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres $S^n$”, Math. USSR-Izv., 27:2 (1986), 203–218  mathnet  crossref  mathscinet  zmath  scopus

   1985
109. O. I. Bogoyavlenskii, G. F. Ivakh, “Topological analysis of Steklov's integrable cases”, Russian Math. Surveys, 40:4 (1985), 161–162  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1984
110. O. I. Bogoyavlenskii, V. V. Potkin, “Periodic trajectories of the Euler equations on $\mathrm{SO}(4)$”, Numerical mathematics and mathematical physics, Mosk. gos. ped. in-t, M., 1984, 48–52 (Russian)  mathscinet
111. O. I. Bogoyavlensky, “Euler equations on finite-dimensional Lie algebras arising in physical problems”, Comm. Math. Phys., 95:3 (1984), 307–315  crossref  mathscinet  adsnasa  isi  scopus 34
112. O. I. Bogoyavlensky, “New integrable problem of classical mechanics”, Comm. Math. Phys., 94:2 (1984), 255–269  crossref  mathscinet  zmath  adsnasa  isi  scopus 21
113. O. I. Bogoyavlenskii, “Dva integriruemykh sluchaya dinamiki tverdogo tela v silovom pole”, Dokl. AN SSSR, 275:6 (1984), 1359–1363  mathnet  mathscinet  zmath  adsnasa  isi 6
114. O. I. Bogoyavlensky, “Integrable Euler equations on ${\rm SO}(4)$ and their physical applications”, Comm. Math. Phys., 93:3 (1984), 417–436  crossref  mathscinet  zmath  adsnasa  isi  scopus 8
115. O. I. Bogoyavlenskii, “Periodicheskie resheniya v modeli vrascheniya pulsara”, Dokl. AN SSSR, 276:2 (1984), 343–347  mathnet  mathscinet  adsnasa  isi 2

   1985
116. O. I. Bogoyavlenskii, “Integrable Euler equations on Lie algebras arising in problems of mathematical physics”, Math. USSR-Izv., 25:2 (1985), 207–257  mathnet  crossref  mathscinet  zmath  scopus

   1984
117. O. I. Bogoyavlenskii, “Novaya integriruemaya zadacha klassicheskoi mekhaniki”, Trudy III Mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki, v. 1, OIYaI, Dubna, 1984, 165–169
118. O. I. Bogoyavlenskii, “Two integrable cases of the dynamics of a rigid body in a force field”, Dokl. Akad. Nauk SSSR, 275:6 (1984), 1359–1363  mathnet  mathscinet  zmath
119. O. I. Bogoyavlenskii, “Periodic solutions in a model of pulsar rotation”, Dokl. Akad. Nauk SSSR, 276:2 (1984), 343–347  mathnet  mathscinet

   1983
120. O. I. Bogoyavlenskii, “Dynamics of a solid with an ellipsoidal cavity filled with a magnetic fluid”, J. Appl. Math. Mech., 47:3 (1983), 371–375 (1984)  crossref  mathscinet  isi  scopus
121. O. I. Bogoyavlenskii, “Integraly chetvertoi stepeni dlya uravnenii Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 273:1 (1983), 15–18  mathnet  mathscinet  zmath  isi 2
122. O. I. Bogoyavlenskii, “Dinamika tvërdogo tela s $n$ ellipsoidalnymi polostyami, zapolnennymi magnitnoi zhidkostyu”, Dokl. AN SSSR, 272:6 (1983), 1364–1367  mathnet  mathscinet  zmath  adsnasa  isi 5
123. O. I. Bogoyavlenskii, “Novye algebraicheskie konstruktsii uravnenii Eilera”, Dokl. AN SSSR, 268:2 (1983), 277–280  mathnet  mathscinet  mathscinet  zmath  isi 2
124. O. I. Bogoyavlenskii, “Integriruemye uravneniya Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 268:1 (1983), 11–15  mathnet  mathscinet  mathscinet  zmath  isi 4

   1984
125. O. I. Bogoyavlenskii, “Integrable Euler equations associated with filtrations of Lie algebras”, Math. USSR-Sb., 49:1 (1984), 229–238  mathnet  crossref  mathscinet  zmath  scopus

   1983
126. O. I. Bogoyavlenskii, “Dynamics of a solid boy with $n$ ellipsoidal cavities filled with a magnetic fluid”, Dokl. Akad. Nauk SSSR, 272:6 (1983), 1364–1367  mathnet  mathscinet  zmath
127. O. I. Bogoyavlenskii, “Integrable Euler equations on six-dimensional Lie algebras”, Dokl. Akad. Nauk SSSR, 273:1 (1983), 15–18  mathnet  mathscinet  zmath
128. R. Finn, V. I. Arnol'd, S. B. Kuksin, V. M. Kharlamov, A. V. Babin, I. G. Khachatryan, Ya. B. Zel'dovich, S. N. Samborskii, O. I. Bogoyavlenskii, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 38:2(230) (1983), 225–232  mathnet

   1982
129. O. I. Bogoyavlensky, G. Moschetti, “The investigation of some self-similar solutions of Einstein's equations”, J. Math. Phys., 23:7 (1982), 1353–1358  crossref  mathscinet  zmath  adsnasa  isi  scopus 1

   1981
130. O. I. Bogoyavlenskiĭ, “Geometrical methods of the qualitative theory of dynamical systems in problems of theoretical physics”, Mathematical physics reviews, v. 2, Soviet Sci. Rev. Sect. C: Math. Phys. Rev., 2, Harwood Academic, Chur, 1981, 117–164  mathscinet
131. O. I. Bogoyavlenskii, “Self-similar motions of self-gravitating gas in stars”, Trudy seminara im. I. G. Petrovskogo, 6, 1981, 3–37  mathscinet  zmath

   1980
132. O. I. Bogoyavlenskii, Metody kachestvennoi teorii dinamicheskikh sistem v astrofizike i gazovoi dinamike, Naka, M., 1980 , 320 pp.  mathscinet  zmath  adsnasa
133. O. I. Bogoyavlensky, “Method of maximal nondegenerated compactification of dynamical systems and its applications in astrophysics”, Nonlinear dynamics, Internat. Conf. (New York, 1979), Ann. New York Acad. Sci., 357, New York Acad. Sci., New York, 1980, 157–168  crossref  mathscinet  adsnasa  scopus
134. O. I. Bogoyavlensky, “Homogeneous solutions of the Einstein equations”, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, 395–400  mathscinet

   1979
135. O. I. Bogoyavlensky, “Nonlinear oscillation regimes in some physical problems”, Stochastic behavior in classical and quantum Hamiltonian systems, Volta Memorial Conf. (Como, 1977), Lecture Notes in Phys., 93, Springer, Berlin, 1979, 151–162  crossref  mathscinet  adsnasa  isi 1

   1983
136. O. I. Bogoyavlenskii, S. P. Novikov, “Finite-dimensional oscillatory models in the general relativity theory and in gas dynamics”, J. Soviet Math., 21:3 (1983), 254–260  mathnet  crossref  mathscinet  zmath  scopus

   1978
137. O. I. Bogoyavlenskii, “Self-similar movements of gas in stars”, Astrofizika, 14:3 (1978), 501–514  mathscinet  adsnasa
138. Yu. I. Manin, I. M. Krichever, S. P. Novikov, Ya. I. Belopol'skaya, Yu. L. Daletskii, O. I. Bogoyavlenskii, F. A. Berezin, E. S. Fradkin, E. A. Novikov, Yu. B. Sedov, A. E. Ordanovich, R. Finn, S. I. Andersson, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:5(203) (1978), 209–217  mathnet

   1977
139. O. I. Bogoyavlenskii, “Nonlinear oscillatory regimes in systems of hydrodynamic type”, Dokl. AN SSSR, 232:6 (1977), 1289–1292  mathnet  mathscinet  mathscinet  zmath  adsnasa
140. O. I. Bogojavlenskii, “General relativistic self-similar solutions with a spherical shock wave”, Soviet Phys. JETP, 46:4 (1977), 633–640  mathscinet  adsnasa  adsnasa

   1976
141. O. I. Bogoyavlensky, “On perturbations of the periodic Toda lattice”, Comm. Math. Phys., 51:3 (1976), 201–209  crossref  mathscinet  adsnasa  scopus 210
142. O. I. Bogoyavlenskii, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei. II”, Trudy seminara im. I. G. Petrovskogo, 2, 1976, 67–112  mathscinet  adsnasa
143. O. I. Bogoyavlenskii, S. P. Novikov, “Homogeneous models in general relativity and gas dynamics”, Russian Math. Surveys, 31:5 (1976), 31–48  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
144. O. I. Bogoyavlenskii, “Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator”, Funct. Anal. Appl., 10:2 (1976), 92–95  mathnet  crossref  mathscinet  zmath  scopus
145. O. I. Bogoyavlenskii, S. P. Novikov, “The relationship between Hamiltonian formalisms of stationary and nonstationary problems”, Funct. Anal. Appl., 10:1 (1976), 8–11  mathnet  crossref  mathscinet  zmath  scopus
146. O. I. Bogoyavlenskii, “Hamiltonian formalism of homogeneous cosmological model of type IX with electromagnetic field”, Theoret. and Math. Phys., 27:2 (1976), 414–418  mathnet  crossref  zmath  adsnasa  scopus
147. O. I. Bogoyavlenskii, “O nekotorykh svoistvakh kosmologicheskoi modeli IX tipa s dvizheniem veschestva”, ZhETF, 70:2 (1976), 361–373  mathscinet  adsnasa
148. O. I. Bogoyavlenskij, “Dynamics of a gravitating gaseous ellipsoid”, J. Appl. Math. Mech., 40 (1976), 246–256  crossref  mathscinet  zmath  scopus

   1975
149. O. I. Bogoyavlenskii, S. P. Novikov, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei”, Trudy seminara im. I. G. Petrovskogo, 1, 1975, 7–43  mathscinet  zmath  adsnasa
150. O. I. Bogoyavlenskii, “Kolebatelnyi rezhim rasshireniya gazovogo oblaka v vakuum”, Pisma v Astron. zhurn., 1:9 (1975), 22–26  adsnasa
151. É. Dzhusti, M. I. Vishik, A. V. Fursikov, A. S. Schwarz, O. I. Bogoyavlenskii, B. M. Levitan, V. V. Kucherenko, A. G. Kushnirenko, M. V. Fedoryuk, M. A. Shubin, A. D. Bruno, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 30:2(182) (1975), 261–269  mathnet  mathscinet

   1973
152. O. I. Bogoyavlenskii, S. P. Novikov, “Singularities of the cosmological model of the Bianchi IX type according to the qualitative theory of differential equations”, Soviet Physics JETP, 37 (1973), 747–755  mathscinet  adsnasa  adsnasa
153. O. I. Bogoyavlenskii, “Asymptotic behaviors of Taub solutions near a singularity”, Uspekhi Mat. Nauk, 28:5(173) (1973), 231–232  mathnet  mathscinet  zmath

   1970
154. O. I. Bogoyavlenskii, “Exact functions on manifolds”, Math. Notes, 8:1 (1970), 514–517  mathnet  mathnet  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. On the Kelvin's 1880 problem and exact solutions of the Navier-Stokes equations
O. I. Bogoyavlenskij
Steklov Mathematical Institute Seminar
May 21, 2015 16:00   

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024