Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Bogoyavlenskii, Oleg Igorevich

Total publications: 153 (150)
in MathSciNet: 145 (144)
in zbMATH: 110 (110)
in Web of Science: 76 (76)
in Scopus: 81 (81)
Cited articles: 106
Citations in Math-Net.Ru: 446
Citations in Web of Science: 823
Citations in Scopus: 1200
Presentations: 1

Number of views:
This page:5233
Abstract pages:16882
Full texts:6275
References:1507
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
https://zbmath.org/authors/?q=ai:bogoyavlenskij.oleg-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/196896

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



   2020
1. 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
2. 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

   2010
3. O. I. Bogoyavlenskij, A. P. Reynolds, “Criteria for existence of a Hamiltonian structure”, Regul. Chaotic Dyn., 15:4-5 (2010), 431–439  mathnet (cited: 2)  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 5)  elib  scopus
4. 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
5. 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
6. O. I. Bogoyavlenskij, “Integrable Lotka-Volterra systems”, Regul. Chaotic Dyn., 13:6 (2008), 543–556  mathnet (cited: 3)  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)  elib (cited: 10)  scopus (cited: 21)
7. 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)
8. 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)
9. 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)  elib  scopus (cited: 2)

   2007
10. 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)
11. 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)
12. 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
13. O. I. Bogoyavlenskij, “Algebraic identities for the Nijenhuis tensors”, Differential Geom. Appl., 24:5 (2006), 447–457  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 6)
14. 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: 6)
15. 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
16. 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 (cited: 2)

   2005
17. 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: 9)  scopus (cited: 9)
18. 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
19. 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)
20. 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
21. 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
22. 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)
23. A. F. Cheviakov, O. I. Bogoyavlenskij, “Exact anisotropic MHD equilibria”, J. Phys. A, 37:30 (2004), 7593–7607  crossref  mathscinet  zmath  adsnasa  isi (cited: 16)  scopus (cited: 16)
24. O. I. Bogoyavlenskij, “Unsteady equipartition MHD solutions”, J. Math. Phys., 45:1 (2004), 381–390  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
25. 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: 8)  scopus (cited: 8)
26. O. I. Bogoyavlenskii, “Hidden structure of symmetries”, Russian Math. Surveys, 59:4 (2004), 787–789  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   2003
27. 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
28. 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: 17)  scopus (cited: 16)
29. 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: 8)

   2002
30. 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
31. 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)
32. O. I. Bogoyavlenskij, “Symmetry transforms for ideal magnetohydrodynamics equilibria”, Phys. Rev. E (3), 66:5 (2002), 056410 , 11 pp.  crossref  mathscinet  adsnasa  isi (cited: 26)  scopus (cited: 23)
33. 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
34. 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: 31)  scopus (cited: 32)
35. 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
36. 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
37. O. I. Bogoyavlenskij, “Helically symmetric astrophysical jets”, Phys. Rev. E (3), 62:6 (2000), 8616–8627  crossref  mathscinet  adsnasa  isi (cited: 26)  scopus (cited: 28)
38. O. I. Bogoyavlenskij, “MHD model of astrophysical jets”, Phys. Lett. A, 276:5-6 (2000), 257–266  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  scopus (cited: 10)
39. 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)  scopus (cited: 7)
40. O. I. Bogoyavlenskij, “Exact helically symmetric plasma equilibria”, Lett. Math. Phys., 51:4 (2000), 235–247  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 7)
41. O. I. Bogoyavlenskij, “Counterexamples to the theorem of Parker”, C. R. Math. Acad. Sci. Soc. R. Can., 22:2 (2000), 86–91  mathscinet  zmath
42. 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: 8)
43. 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
44. 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
45. 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
46. O. I. Bogoyavlenskii, “Algebraicheskie svoistva master-simmetrii i ikh primeneniya”, Dokl. RAN, 360:4 (1998), 445–447  mathnet  mathscinet  zmath  isi (cited: 1)
47. 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
48. 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)  scopus (cited: 7)
49. O. I. Bogoyavlenskij, “Extended integrability and bi-Hamiltonian systems”, Comm. Math. Phys., 196:1 (1998), 19–51  crossref  mathscinet  zmath  adsnasa  isi (cited: 61)  scopus (cited: 63)
50. 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
51. 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
52. 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: 17)
53. 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
54. O. I. Bogoyavlenskij, “A concept of integrability of dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:4 (1996), 163–168  mathscinet  zmath
55. 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: 29)  scopus (cited: 31)
56. 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
57. O. I. Bogoyavlenskij, “A cohomology for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:6 (1995), 253–258  mathscinet  zmath
58. 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
59. O. I. Bogoyavlenskij, “Incompatible Poisson structures and integrable Hamiltonian systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 123–128  mathscinet  zmath
60. 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
61. 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
62. 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
63. O. I. Bogoyavlenskij, “Existence of Riemann invariants and Hamiltonian structures”, C. R. Math. Rep. Acad. Sci. Canada, 15:4 (1993), 143–148  mathscinet  zmath
64. 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
65. 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
66. 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
67. 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
68. 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
69. 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
70. 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)  scopus (cited: 4)

   1992
71. 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)  scopus (cited: 12)

   1991
72. O. I. Bogoyavlenskii, Oprokidyvayuschiesya solitony, Nelineinye integriruemye uravneniya, Nauka, M., 1991 , 320 pp.  mathscinet
73. 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
74. 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: 3)  scopus (cited: 3)

   1991
75. 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: 44)  scopus (cited: 43)

   1992
76. 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: 4)  scopus (cited: 4)

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

   1991
78. O. I. Bogoyavlenskii, “Breaking solitons. IV”, Math. USSR-Izv., 37:3 (1991), 475–487  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 8)

   1990
79. 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: 120)  scopus (cited: 125)

   1991
80. 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 (cited: 4)
81. O. I. Bogoyavlenskii, “Breaking solitons. III”, Math. USSR-Izv., 36:1 (1991), 129–137  mathnet  crossref  mathscinet  zmath  adsnasa  scopus (cited: 19)

   1990
82. O. I. Bogoyavlenskii, “Breaking solitons. II”, Math. USSR-Izv., 35:1 (1990), 245–248  mathnet  crossref  mathscinet  zmath  scopus (cited: 9)
83. O. I. Bogoyavlenskii, “Overturning solitons in new two-dimensional integrable equations”, Math. USSR-Izv., 34:2 (1990), 245–259  mathnet  crossref  mathscinet  zmath  scopus (cited: 71)

   1988
84. 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: 26)  scopus (cited: 23)
85. O. I. Bogoyavlensky, “Integrable discretizations of the KdV equation”, Phys. Lett. A, 134:1 (1988), 34–38  crossref  mathscinet  adsnasa  isi (cited: 101)  scopus (cited: 101)

   1989
86. O. I. Bogoyavlenskii, “Algebraic constructions of certain integrable equations”, Math. USSR-Izv., 33:1 (1989), 39–65  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
87. 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 (cited: 12)

   1987
88. 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: 5)  scopus (cited: 5)
89. 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
90. O. I. Bogoyavlenskii, “Integrable dynamical systems associated with the KdV equation”, Math. USSR-Izv., 31:3 (1988), 435–454  mathnet  crossref  mathscinet  zmath  scopus (cited: 20)
91. O. I. Bogoyavlenskii, “Some constructions of integrable dynamical systems”, Math. USSR-Izv., 31:1 (1988), 47–75  mathnet  crossref  mathscinet  zmath  scopus (cited: 27)

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

   1988
93. 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
94. 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
95. 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)
96. 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)
97. 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)
98. O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations”, Dokl. Akad. Nauk SSSR, 287:5 (1986), 1105–1109  mathnet  mathscinet  zmath
99. 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
100. O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. Akad. Nauk SSSR, 288:2 (1986), 327–331  mathnet  mathscinet

   1985
101. 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
102. 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
103. 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
104. 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
105. 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
106. 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
107. 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 (cited: 8)

   1985
108. 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)  scopus (cited: 2)

   1984
109. 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
110. 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: 30)
111. O. I. Bogoyavlensky, “New integrable problem of classical mechanics”, Comm. Math. Phys., 94:2 (1984), 255–269  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  scopus (cited: 19)
112. 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)
113. 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)
114. 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
115. 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 (cited: 15)

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

   1983
119. 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)
120. 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)
121. 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)
122. 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)
123. 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
124. 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 (cited: 2)

   1983
125. 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
126. O. I. Bogoyavlenskii, “Integrable Euler equations on six-dimensional Lie algebras”, Dokl. Akad. Nauk SSSR, 273:1 (1983), 15–18  mathnet  mathscinet  zmath
127. 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
128. 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
129. 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
130. 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
131. O. I. Bogoyavlenskii, Metody kachestvennoi teorii dinamicheskikh sistem v astrofizike i gazovoi dinamike, Naka, M., 1980 , 320 pp.  mathscinet  zmath  adsnasa
132. 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
133. 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
134. 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
135. 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
136. O. I. Bogoyavlenskii, “Self-similar movements of gas in stars”, Astrofizika, 14:3 (1978), 501–514  mathscinet  adsnasa
137. 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
138. O. I. Bogoyavlenskii, “Nonlinear oscillatory regimes in systems of hydrodynamic type”, Dokl. AN SSSR, 232:6 (1977), 1289–1292  mathnet  mathscinet  mathscinet  zmath  adsnasa
139. 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
140. O. I. Bogoyavlensky, “On perturbations of the periodic Toda lattice”, Comm. Math. Phys., 51:3 (1976), 201–209  crossref  mathscinet  adsnasa  scopus (cited: 196)
141. O. I. Bogoyavlenskii, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei. II”, Trudy seminara im. I. G. Petrovskogo, 2, 1976, 67–112  mathscinet  adsnasa
142. 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 (cited: 9)
143. 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: 4)
144. 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)
145. 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)
146. O. I. Bogoyavlenskii, “O nekotorykh svoistvakh kosmologicheskoi modeli IX tipa s dvizheniem veschestva”, ZhETF, 70:2 (1976), 361–373  mathscinet  adsnasa
147. O. I. Bogoyavlenskij, “Dynamics of a gravitating gaseous ellipsoid”, J. Appl. Math. Mech., 40 (1976), 246–256  crossref  zmath  scopus (cited: 4)

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

   1970
153. 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, 2021