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Bogoyavlenskii, Oleg Igorevich

Total publications: 152 (149)
in MathSciNet: 144 (143)
in zbMATH: 110 (110)
in Web of Science: 75 (75)
in Scopus: 55 (55)
Cited articles: 105
Citations in Math-Net.Ru: 429
Citations in Web of Science: 721
Citations in Scopus: 725
Presentations: 1

Number of views:
This page:3613
Abstract pages:14167
Full texts:4693
References:1441
Doctor of physico-mathematical sciences
Birth date: 21.11.1948
E-mail:
Website: http://www.mast.queensu.ca/people/profiles/oleg.php

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

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



   2011
1. 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  isi  scopus

   2010
2. 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  isi (cited: 5)  scopus
3. 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 (cited: 4)  scopus (cited: 4)

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

   2008
5. O. I. Bogoyavlenskij, “Integrable Lotka-Volterra systems”, Regul. Chaotic Dyn., 13:6 (2008), 543–556  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  elib (cited: 10)  scopus (cited: 15)
6. 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 (cited: 1)  scopus (cited: 1)
7. 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 (cited: 3)  scopus (cited: 5)
8. 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 (cited: 2)  scopus (cited: 2)

   2007
9. 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 (cited: 1)
10. 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 (cited: 7)  elib (cited: 2)  scopus (cited: 7)
11. O. I. Bogoyavlenskij, “Decoupling problem for systems of quasi-linear pde's”, Comm. Math. Phys., 269:2 (2007), 545–556  crossref  mathscinet  adsnasa  isi (cited: 6)  scopus (cited: 5)

   2006
12. O. I. Bogoyavlenskij, “Algebraic identities for the Nijenhuis tensors”, Differential Geom. Appl., 24:5 (2006), 447–457  crossref  mathscinet  isi (cited: 6)  scopus (cited: 6)
13. O. I. Bogoyavlenskij, “Block-diagonalizability problem for hydrodynamic type systems”, J. Math. Phys., 47:6 (2006), 063502 , 9 pp.  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 5)
14. 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  scopus
15. 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 (cited: 1)  scopus

   2005
16. 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 (cited: 7)  scopus (cited: 7)
17. 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
18. O. I. Bogoyavlenskij, “Hidden structure of symmetries”, Comm. Math. Phys., 254:2 (2005), 479–488  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
19. 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 (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2004
20. 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
21. 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 (cited: 1)  scopus (cited: 1)
22. A. F. Cheviakov, O. I. Bogoyavlenskij, “Exact anisotropic MHD equilibria”, J. Phys. A, 37:30 (2004), 7593–7607  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  scopus (cited: 13)
23. O. I. Bogoyavlenskij, “Unsteady equipartition MHD solutions”, J. Math. Phys., 45:1 (2004), 381–390  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 4)
24. 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 (cited: 4)  scopus (cited: 5)
25. O. I. Bogoyavlenskii, “Hidden structure of symmetries”, Russian Math. Surveys, 59:4 (2004), 787–789  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2003
26. 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
27. 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 (cited: 8)  scopus (cited: 7)
28. O. I. Bogoyavlenskii, “Infinite families of exact periodic solutions to the Navier–Stokes equations”, Mosc. Math. J., 3:2 (2003), 263–272  mathnet (cited: 8)  crossref  mathscinet  zmath  isi (cited: 5)

   2002
29. 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
30. 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 (cited: 4)
31. O. I. Bogoyavlenskij, “Symmetry transforms for ideal magnetohydrodynamics equilibria”, Phys. Rev. E (3), 66:5 (2002), 056410 , 11 pp.  crossref  mathscinet  adsnasa  isi (cited: 21)  scopus (cited: 22)
32. 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
33. 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 (cited: 30)  scopus (cited: 31)
34. 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  mathscinet  zmath

   2000
35. 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
36. O. I. Bogoyavlenskij, “Helically symmetric astrophysical jets”, Phys. Rev. E (3), 62:6 (2000), 8616–8627  crossref  mathscinet  adsnasa  isi (cited: 22)  scopus (cited: 25)
37. O. I. Bogoyavlenskij, “MHD model of astrophysical jets”, Phys. Lett. A, 276:5-6 (2000), 257–266  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 9)
38. 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 (cited: 7)
39. O. I. Bogoyavlenskij, “Exact helically symmetric plasma equilibria”, Lett. Math. Phys., 51:4 (2000), 235–247  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 5)
40. O. I. Bogoyavlenskij, “Counterexamples to the theorem of Parker”, C. R. Math. Acad. Sci. Soc. R. Can., 22:2 (2000), 86–91  mathscinet  zmath
41. O. I. Bogoyavlenskij, “Counterexamples to Parker's theorem”, J. Math. Phys., 41:4 (2000), 2043–2057  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 9)
42. O. I. Bogoyavlenskii, “Exact global plasma equilibria”, Russian Math. Surveys, 55:3 (2000), 463–500  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus (cited: 2)

   1999
43. 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
44. 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
45. O. I. Bogoyavlenskii, “Algebraicheskie svoistva master-simmetrii i ikh primeneniya”, Dokl. RAN, 360:4 (1998), 445–447  mathnet  mathscinet  zmath  isi (cited: 1)
46. O. I. Bogoyavlenskii, “Neobkhodimye i dostatochnye usloviya dlya dvukh kontseptsii nevyrozhdennosti po Puankare integriruemykh Gamiltonovykh sistem”, Dokl. RAN, 360:3 (1998), 295–298  mathnet (cited: 2)  mathscinet  zmath  isi
47. 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 (cited: 6)
48. O. I. Bogoyavlenskij, “Extended integrability and bi-Hamiltonian systems”, Comm. Math. Phys., 196:1 (1998), 19–51  crossref  mathscinet  zmath  adsnasa  isi (cited: 54)  scopus (cited: 54)
49. 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 (cited: 1)  scopus (cited: 1)

   1997
50. 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 (cited: 19)  scopus (cited: 16)

   1996
51. 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 (cited: 14)
52. 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
53. O. I. Bogoyavlenskij, “A concept of integrability of dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:4 (1996), 163–168  mathscinet  zmath
54. 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 (cited: 26)  scopus (cited: 27)
55. 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
56. O. I. Bogoyavlenskij, “A cohomology for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:6 (1995), 253–258  mathscinet  zmath
57. 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
58. O. I. Bogoyavlenskij, “Incompatible Poisson structures and integrable Hamiltonian systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 123–128  mathscinet  zmath
59. 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
60. 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
61. 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
62. O. I. Bogoyavlenskij, “Existence of Riemann invariants and Hamiltonian structures”, C. R. Math. Rep. Acad. Sci. Canada, 15:4 (1993), 143–148  mathscinet  zmath
63. 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
64. 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
65. O. I. Bogoyavlenskij, “General integrable problems of classical mechanics”, Comm. Math. Phys., 153:1 (1993), 23–47  crossref  mathscinet  zmath  adsnasa  isi  scopus (cited: 3)

   1992
66. 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
67. 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
68. 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
69. 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 (cited: 2)

   1992
70. 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 (cited: 11)

   1991
71. O. I. Bogoyavlenskii, Oprokidyvayuschiesya solitony, Nelineinye integriruemye uravneniya, Nauka, M., 1991 , 320 pp.  mathscinet
72. 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
73. 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 (cited: 2)

   1991
74. 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 (cited: 39)

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

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

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

   1990
78. 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 (cited: 93)

   1991
79. 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
80. O. I. Bogoyavlenskii, “Breaking solitons. III”, Math. USSR-Izv., 36:1 (1991), 129–137  mathnet  crossref  mathscinet  zmath  adsnasa

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

   1988
83. 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 (cited: 24)  scopus (cited: 21)
84. O. I. Bogoyavlensky, “Integrable discretizations of the KdV equation”, Phys. Lett. A, 134:1 (1988), 34–38  crossref  mathscinet  adsnasa  isi (cited: 93)  scopus (cited: 96)

   1989
85. O. I. Bogoyavlenskii, “Algebraic constructions of certain integrable equations”, Math. USSR-Izv., 33:1 (1989), 39–65  mathnet  crossref  mathscinet  zmath
86. 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

   1987
87. 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 (cited: 4)  scopus (cited: 5)
88. O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera. II”, Dokl. AN SSSR, 292:2 (1987), 318–322  mathnet (cited: 1)  mathscinet  zmath  adsnasa  isi (cited: 2)

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

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

   1988
92. 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
93. 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
94. O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. AN SSSR, 288:2 (1986), 327–331  mathnet (cited: 1)  mathscinet  isi (cited: 1)
95. O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera”, Dokl. AN SSSR, 287:5 (1986), 1105–1109  mathnet (cited: 12)  mathscinet  zmath  adsnasa  isi (cited: 20)
96. 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 (cited: 6)  scopus (cited: 4)
97. O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations”, Dokl. Akad. Nauk SSSR, 287:5 (1986), 1105–1109  mathnet  mathscinet  zmath
98. 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
99. O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. Akad. Nauk SSSR, 288:2 (1986), 327–331  mathnet  mathscinet

   1985
100. 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
101. 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
102. O. I. Bogoyavlensky, “Periodic solutions in a model of pulsar rotation”, Comm. Math. Phys., 102:3 (1985), 349–359  crossref  mathscinet  adsnasa  isi (cited: 1)  scopus
103. 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. O. I. Bogoyavlensky, “Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions”, Astronom. Nachr., 306:1 (1985), 35–41  crossref  mathscinet  zmath  adsnasa  isi

   1986
105. 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
106. 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

   1985
107. 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 (cited: 2)

   1984
108. 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
109. 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 (cited: 27)  scopus (cited: 29)
110. O. I. Bogoyavlensky, “New integrable problem of classical mechanics”, Comm. Math. Phys., 94:2 (1984), 255–269  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  scopus (cited: 17)
111. O. I. Bogoyavlenskii, “Dva integriruemykh sluchaya dinamiki tverdogo tela v silovom pole”, Dokl. AN SSSR, 275:6 (1984), 1359–1363  mathnet (cited: 6)  mathscinet  zmath  adsnasa  isi (cited: 11)
112. O. I. Bogoyavlensky, “Integrable Euler equations on $SO(4)$ and their physical applications”, Comm. Math. Phys., 93:3 (1984), 417–436  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  scopus (cited: 10)
113. O. I. Bogoyavlenskii, “Periodicheskie resheniya v modeli vrascheniya pulsara”, Dokl. AN SSSR, 276:2 (1984), 343–347  mathnet (cited: 2)  mathscinet  adsnasa  isi (cited: 1)

   1985
114. 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

   1984
115. O. I. Bogoyavlenskii, “Novaya integriruemaya zadacha klassicheskoi mekhaniki”, Trudy III Mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki, v. 1, OIYaI, Dubna, 1984, 165–169
116. 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
117. O. I. Bogoyavlenskii, “Periodic solutions in a model of pulsar rotation”, Dokl. Akad. Nauk SSSR, 276:2 (1984), 343–347  mathnet  mathscinet

   1983
118. 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 (cited: 2)  scopus (cited: 2)
119. O. I. Bogoyavlenskii, “Integraly chetvertoi stepeni dlya uravnenii Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 273:1 (1983), 15–18  mathnet (cited: 2)  mathscinet  zmath  isi (cited: 2)
120. O. I. Bogoyavlenskii, “Dinamika tvërdogo tela s $n$ ellipsoidalnymi polostyami, zapolnennymi magnitnoi zhidkostyu”, Dokl. AN SSSR, 272:6 (1983), 1364–1367  mathnet (cited: 5)  mathscinet  zmath  adsnasa  isi (cited: 14)
121. O. I. Bogoyavlenskii, “Novye algebraicheskie konstruktsii uravnenii Eilera”, Dokl. AN SSSR, 268:2 (1983), 277–280  mathnet (cited: 2)  mathscinet  mathscinet  zmath  isi (cited: 1)
122. O. I. Bogoyavlenskii, “Integriruemye uravneniya Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 268:1 (1983), 11–15  mathnet (cited: 4)  mathscinet  mathscinet  zmath  isi (cited: 7)

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

   1983
124. 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
125. O. I. Bogoyavlenskii, “Integrable Euler equations on six-dimensional Lie algebras”, Dokl. Akad. Nauk SSSR, 273:1 (1983), 15–18  mathnet  mathscinet  zmath
126. 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
127. 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 (cited: 1)

   1981
128. 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
129. 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
130. O. I. Bogoyavlenskii, Metody kachestvennoi teorii dinamicheskikh sistem v astrofizike i gazovoi dinamike, Naka, M., 1980 , 320 pp.  mathscinet  zmath  adsnasa
131. 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
132. 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
133. 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 (cited: 1)

   1983
134. 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
135. O. I. Bogoyavlenskii, “Self-similar movements of gas in stars”, Astrofizika, 14:3 (1978), 501–514  mathscinet  adsnasa
136. 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
137. O. I. Bogoyavlenskii, “Nonlinear oscillatory regimes in systems of hydrodynamic type”, Dokl. AN SSSR, 232:6 (1977), 1289–1292  mathnet  mathscinet  mathscinet  zmath  adsnasa
138. 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
139. O. I. Bogoyavlensky, “On perturbations of the periodic Toda lattice”, Comm. Math. Phys., 51:3 (1976), 201–209  crossref  mathscinet  adsnasa  scopus (cited: 194)
140. O. I. Bogoyavlenskii, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei. II”, Trudy seminara im. I. G. Petrovskogo, 2, 1976, 67–112  mathscinet  adsnasa
141. 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
142. 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 (cited: 3)
143. 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 (cited: 44)
144. 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 (cited: 1)
145. O. I. Bogoyavlenskii, “O nekotorykh svoistvakh kosmologicheskoi modeli IX tipa s dvizheniem veschestva”, ZhETF, 70:2 (1976), 361–373  mathscinet
146. O. I. Bogoyavlenskij, “Dynamics of a gravitating gaseous ellipsoid”, J. Appl. Math. Mech., 40 (1976), 246–256  crossref  zmath  scopus (cited: 2)

   1975
147. O. I. Bogoyavlenskii, S. P. Novikov, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei”, Trudy seminara im. I. G. Petrovskogo, 1, 1975, 7–43  mathscinet  zmath  adsnasa
148. O. I. Bogoyavlenskii, “Kolebatelnyi rezhim rasshireniya gazovogo oblaka v vakuum”, Pisma v Astron. zhurn., 1:9 (1975), 22–26
149. 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
150. 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
151. O. I. Bogoyavlenskii, “Asymptotic behaviors of Taub solutions near a singularity”, Uspekhi Mat. Nauk, 28:5(173) (1973), 231–232  mathnet  mathscinet  zmath

   1970
152. 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   

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