| Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
O. I. Bogoyavlensky, “On perturbations of the periodic Toda lattice”, Comm. Math. Phys., 51:3 (1976), 201–209    
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210
[x]
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| 2. |
O. I. Bogoyavlenskii, “Breaking solitons in $2+1$-dimensional integrable equations”, Russian Math. Surveys, 45:4 (1990), 1–89    |
| 3. |
O. I. Bogoyavlensky, “Integrable discretizations of the KdV equation”, Phys. Lett. A, 134:1 (1988), 34–38
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121
[x]
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| 4. |
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.
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104
[x]
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| 5. |
O. I. Bogoyavlenskii, “Overturning solitons in new two-dimensional integrable equations”, Math. USSR-Izv., 34:2 (1990), 245–259 |
| 6. |
O. I. Bogoyavlenskij, “Extended integrability and bi-Hamiltonian systems”, Comm. Math. Phys., 196:1 (1998), 19–51
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80
[x]
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| 7. |
O. I. Bogoyavlenskii, “Algebraic constructions of integrable dynamical systems-extensions of the Volterra system”, Russian Math. Surveys, 46:3 (1991), 1–64 |
| 8. |
O. I. Bogoyavlenskii, S. P. Novikov, “The relationship between Hamiltonian formalisms of stationary and nonstationary problems”, Funct. Anal. Appl., 10:1 (1976), 8–11 |
| 9. |
O. I. Bogoyavlenskii, “Some constructions of integrable dynamical systems”, Math. USSR-Izv., 31:1 (1988), 47–75 |
| 10. |
O. I. Bogoyavlenskii, “Integrable Euler equations on Lie algebras arising in problems of mathematical physics”, Math. USSR-Izv., 25:2 (1985), 207–257 |
| 11. |
O. I. Bogoyavlensky, “Euler equations on finite-dimensional Lie algebras arising in physical problems”, Comm. Math. Phys., 95:3 (1984), 307–315
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34
[x]
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| 12. |
O. I. Bogoyavlenskij, “Infinite symmetries of the ideal MHD equilibrium equations”, Phys. Lett. A, 291:4-5 (2001), 256–264
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30
[x]
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| 13. |
O. I. Bogoyavlenskii, “Integrable dynamical systems associated with the KdV equation”, Math. USSR-Izv., 31:3 (1988), 435–454 |
| 14. |
O. I. Bogoyavlenskij, “Exact unsteady solutions to the Navier-Stokes and viscous MHD equations”, Phys. Lett. A, 307:5-6 (2003), 281–286
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28
[x]
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| 15. |
O. I. Bogoyavlenskij, “Helically symmetric astrophysical jets”, Phys. Rev. E (3), 62:6 (2000), 8616–8627
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28
[x]
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| 16. |
O. I. Bogoyavlenskii, “Breaking solitons. III”, Math. USSR-Izv., 36:1 (1991), 129–137 |
| 17. |
O. I. Bogoyavlenskij, “Integrable Lotka-Volterra systems”, Regul. Chaotic Dyn., 13:6 (2008), 543–556 
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24
[x]
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| 18. |
O. I. Bogoyavlenskij, “Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures”, Comm. Math. Phys., 180:3 (1996), 529–586
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24
[x]
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| 19. |
O. I. Bogoyavlenskij, “Symmetry transforms for ideal magnetohydrodynamics equilibria”, Phys. Rev. E (3), 66:5 (2002), 056410 , 11 pp.
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22
[x]
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| 20. |
O. I. Bogoyavlensky, “New integrable problem of classical mechanics”, Comm. Math. Phys., 94:2 (1984), 255–269
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21
[x]
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| 21. |
O. I. Bogoyavlenskij, “Necessary conditions for existence of non-degenerate Hamiltonian structures”, Comm. Math. Phys., 182:2 (1996), 253–289
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20
[x]
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| 22. |
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 |
| 23. |
O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations”, Dokl. Akad. Nauk SSSR, 287:5 (1986), 1105–1109 |
| 24. |
A. F. Cheviakov, O. I. Bogoyavlenskij, “Exact anisotropic MHD equilibria”, J. Phys. A, 37:30 (2004), 7593–7607
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16
[x]
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| 25. |
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
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16
[x]
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| 26. |
O. I. Bogoyavlenskii, “The Lax representation with a spectral parameter for certain dynamical systems”, Math. USSR-Izv., 32:2 (1989), 245–268 |
| 27. |
O. I. Bogoyavlenskii, S. P. Novikov, “Homogeneous models in general relativity and gas dynamics”, Russian Math. Surveys, 31:5 (1976), 31–48 |
| 28. |
O. I. Bogoyavlenskij, “MHD model of astrophysical jets”, Phys. Lett. A, 276:5-6 (2000), 257–266
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15
[x]
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| 29. |
O. I. Bogoyavlenskii, “Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics”, Russian Math. Surveys, 47:1 (1992), 117–189 |
| 30. |
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 |
| 31. |
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 |
| 32. |
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
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13
[x]
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| 33. |
O. I. Bogoyavlenskii, “Infinite families of exact periodic solutions to the Navier–Stokes equations”, Mosc. Math. J., 3:2 (2003), 263–272
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13
[x]
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| 34. |
O. I. Bogoyavlenskii, “Breaking solitons. II”, Math. USSR-Izv., 35:1 (1990), 245–248 |
| 35. |
O. I. Bogoyavlenskii, “General algebraic identities for the Nijenhuis and Haantjes tensors”, Izv. Math., 68:6 (2004), 1129–1141 |
| 36. |
O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera”, Dokl. AN SSSR, 287:5 (1986), 1105–1109
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12
[x]
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| 37. |
O. I. Bogoyavlenskij, “Algebraic identities for the Nijenhuis tensors”, Differential Geom. Appl., 24:5 (2006), 447–457
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11
[x]
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| 38. |
O. I. Bogoyavlenskii, “Breaking solitons. IV”, Math. USSR-Izv., 37:3 (1991), 475–487 |
| 39. |
O. I. Bogoyavlenskij, “Block-diagonalizability problem for hydrodynamic type systems”, J. Math. Phys., 47:6 (2006), 063502 , 9 pp.
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9
[x]
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| 40. |
O. I. Bogoyavlenskij, “Counterexamples to Parker's theorem”, J. Math. Phys., 41:4 (2000), 2043–2057
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9
[x]
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| 41. |
O. I. Bogoyavlenskii, “Algebraic constructions of certain integrable equations”, Math. USSR-Izv., 33:1 (1989), 39–65 |
| 42. |
O. I. Bogoyavlenskii, G. F. Ivakh, “Topological analysis of Steklov's integrable cases”, Russian Math. Surveys, 40:4 (1985), 161–162 |
| 43. |
O. I. Bogoyavlensky, “Integrable Euler equations on ${\rm SO}(4)$ and their physical applications”, Comm. Math. Phys., 93:3 (1984), 417–436
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8
[x]
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| 44. |
O. I. Bogoyavlenskij, “Invariant foliations for the Poisson brackets of hydrodynamic type”, Phys. Lett. A, 360:4-5 (2007), 539–544
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7
[x]
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| 45. |
O. I. Bogoyavlenskij, “Decoupling problem for systems of quasi-linear pde's”, Comm. Math. Phys., 269:2 (2007), 545–556
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7
[x]
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| 46. |
O. I. Bogoyavlenskij, “Unsteady equipartition MHD solutions”, J. Math. Phys., 45:1 (2004), 381–390
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7
[x]
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| 47. |
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
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7
[x]
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| 48. |
O. I. Bogoyavlenskii, “Integrals of higher-order stationary KdV equations and eigenvalues of the Hill operator”, Funct. Anal. Appl., 10:2 (1976), 92–95 |
| 49. |
O. Bogoyavlenskij, “Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria”, J. Engrg. Math., 66:1-3 (2010), 141–152
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6
[x]
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| 50. |
O. I. Bogoyavlenskij, “Exact helically symmetric plasma equilibria”, Lett. Math. Phys., 51:4 (2000), 235–247
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6
[x]
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| 51. |
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
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6
[x]
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| 52. |
O. I. Bogoyavlenskii, “Dva integriruemykh sluchaya dinamiki tverdogo tela v silovom pole”, Dokl. AN SSSR, 275:6 (1984), 1359–1363
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6
[x]
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| 53. |
O. I. Bogoyavlenskii, “Integrable Euler equations associated with filtrations of Lie algebras”, Math. USSR-Sb., 49:1 (1984), 229–238 |
| 54. |
O. I. Bogoyavlenskij, A. P. Reynolds, “Criteria for existence of a Hamiltonian structure”, Regul. Chaotic Dyn., 15:4-5 (2010), 431–439
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5
[x]
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| 55. |
O. Bogoyavlenskij, Y. Itoh, T. Yukawa, “Lotka-Volterra systems integrable in quadratures”, J. Math. Phys., 49:5 (2008), 053501 , 6 pp.
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5
[x]
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| 56. |
O. I. Bogoyavlenskii, “Breaking solitons. V. Systems of hydrodynamic type”, Math. USSR-Izv., 38:3 (1992), 439–454 |
| 57. |
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
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5
[x]
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| 58. |
O. I. Bogoyavlenskii, “Dinamika tvërdogo tela s $n$ ellipsoidalnymi polostyami, zapolnennymi magnitnoi zhidkostyu”, Dokl. AN SSSR, 272:6 (1983), 1364–1367
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5
[x]
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| 59. |
O. I. Bogoyavlenskij, “Exact axially symmetric MHD equilibria”, C. R. Acad. Sci. Paris Sér. I Math., 331:7 (2000), 569–574
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4
[x]
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| 60. |
O. I. Bogoyavlenskii, “Exact global plasma equilibria”, Russian Math. Surveys, 55:3 (2000), 463–500 |
| 61. |
O. I. Bogoyavlenskii, “A theorem on two commuting automorphisms, and integrable differential equations”, Math. USSR-Izv., 36:2 (1991), 263–279 |
| 62. |
O. I. Bogoyavlenskii, “Integriruemye uravneniya Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 268:1 (1983), 11–15
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4
[x]
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| 63. |
O. I. Bogoyavlenskii, “Hamiltonian formalism of homogeneous cosmological model of type IX with electromagnetic field”, Theoret. and Math. Phys., 27:2 (1976), 414–418 |
| 64. |
O. I. Bogoyavlenskii, “Exact functions on manifolds”, Math. Notes, 8:1 (1970), 514–517 |
| 65. |
O. I. Bogoyavlenskii, “Breaking solitons. VI. Extension of systems of hydrodynamic type”, Math. USSR-Izv., 39:2 (1992), 959–973 |
| 66. |
O. I. Bogoyavlensky, “Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids”, Comm. Math. Phys., 103:2 (1986), 305–322
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3
[x]
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| 67. |
O. Bogoyavlensky, “Method of descent for integrable lattices”, J. Math. Phys., 50:5 (2009), 053517 , 11 pp.
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2
[x]
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| 68. |
O. Bogoyavlenskij, P. Reynolds, “Form-invariant Poisson brackets of hydrodynamic type with several spatial variables”, J. Math. Phys., 49:5 (2008), 053520 , 15 pp.
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2
[x]
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| 69. |
O. I. Bogoyavlenskij, “Tensor invariants of the Poisson brackets of hydrodynamic type”, Comm. Math. Phys., 277:2 (2008), 369–384
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2
[x]
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| 70. |
O. I. Bogoyavlenskij, “Schouten tensor and bi-Hamiltonian systems of hydrodynamic type”, J. Math. Phys., 47:2 (2006), 023504 , 14 pp.
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2
[x]
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| 71. |
O. I. Bogoyavlenskii, “Necessary conditions for the decoupling of systems of PDEs of arbitrary order”, Russian Math. Surveys, 60:1 (2005), 159–160 |
| 72. |
O. I. Bogoyavlenskii, “Neobkhodimye i dostatochnye usloviya dlya dvukh kontseptsii nevyrozhdennosti po Puankare integriruemykh Gamiltonovykh sistem”, Dokl. RAN, 360:3 (1998), 295–298
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2
[x]
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| 73. |
O. I. Bogoyavlenskij, “General integrable problems of classical mechanics”, Comm. Math. Phys., 153:1 (1993), 23–47
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2
[x]
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| 74. |
O. I. Bogoyavlenskii, “Integrable problems of the dynamics of coupled rigid bodies”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 395–416 |
| 75. |
O. I. Bogoyavlenskii, “Periodicheskie resheniya v modeli vrascheniya pulsara”, Dokl. AN SSSR, 276:2 (1984), 343–347
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2
[x]
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| 76. |
O. I. Bogoyavlenskii, “Integraly chetvertoi stepeni dlya uravnenii Eilera na shestimernykh algebrakh Li”, Dokl. AN SSSR, 273:1 (1983), 15–18
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2
[x]
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| 77. |
O. I. Bogoyavlenskii, “Novye algebraicheskie konstruktsii uravnenii Eilera”, Dokl. AN SSSR, 268:2 (1983), 277–280
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2
[x]
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| 78. |
O. I. Bogoyavlenskij, “Dynamics of a gravitating gaseous ellipsoid”, J. Appl. Math. Mech., 40 (1976), 246–256 |
| 79. |
A. P. Reynolds, O. I. Bogoyavlenskij, “Lie algebra structures for four-component Hamiltonian hydrodynamic type systems”, J. Geom. Phys., 61:12 (2011), 2400–2409
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1
[x]
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| 80. |
O. I. Bogoyavlenskij, “Algebraic identity for the Schouten tensor and bi-Hamiltonian systems”, Differential Geom. Appl., 25:5 (2007), 452–460
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1
[x]
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| 81. |
O. Bogoyavlenskij, B. Fuchssteiner, “Exact MHD solutions with crystallographic symmetries and non-interacting Fourier modes”, Phys. Lett. A, 331:1-2 (2004), 53–59
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1
[x]
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| 82. |
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 |
| 83. |
O. I. Bogoyavlenskii, “Nekotorye integriruemye sluchai uravnenii Eilera. II”, Dokl. AN SSSR, 292:2 (1987), 318–322
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1
[x]
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| 84. |
O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. AN SSSR, 288:2 (1986), 327–331
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1
[x]
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| 85. |
O. I. Bogoyavlensky, “Periodic solutions in a model of pulsar rotation”, Comm. Math. Phys., 102:3 (1985), 349–359
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1
[x]
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| 86. |
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) |
| 87. |
O. I. Bogoyavlensky, G. Moschetti, “The investigation of some self-similar solutions of Einstein's equations”, J. Math. Phys., 23:7 (1982), 1353–1358
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1
[x]
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| 88. |
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
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1
[x]
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| 89. |
O. Bogoyavlenskij, “Differential-geometric invariants of the Hamiltonian systems of PDE's”, Comm. Math. Phys., 265:3 (2006), 805–817 |
| 90. |
O. I. Bogoyavlenskij, “Hidden structure of the Lie algebra of symmetries”, C. R. Math. Acad. Sci. Soc. R. Can., 27:1 (2005), 14–19 |
| 91. |
O. I. Bogoyavlenskij, “Hidden structure of symmetries”, Comm. Math. Phys., 254:2 (2005), 479–488 |
| 92. |
O. Bogoyavlenskij, B. Fuchssteiner, “Viscous MHD solutions with no transfer of energy through the spectrum”, Rep. Math. Phys., 54:1 (2004), 115–130 |
| 93. |
O. I. Bogoyavlenskii, “Hidden structure of symmetries”, Russian Math. Surveys, 59:4 (2004), 787–789 |
| 94. |
O. I. Bogoyavlenskij, “Unsteady equipartition solutions to the viscous MHD equations”, C. R. Math. Acad. Sci. Soc. R. Can., 25:4 (2003), 102–107 |
| 95. |
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 |
| 96. |
O. I. Bogoyavlenskij, “Exact solutions to the Navier-Stokes equations”, C. R. Math. Acad. Sci. Soc. R. Can., 24:4 (2002), 138–143 |
| 97. |
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 |
| 98. |
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 |
| 99. |
O. I. Bogoyavlenskij, “Counterexamples to the theorem of Parker”, C. R. Math. Acad. Sci. Soc. R. Can., 22:2 (2000), 86–91 |
| 100. |
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 |
| 101. |
O. I. Bogoyavlenskii, “Cohomology rings for smooth maps”, Russian Math. Surveys, 54:1 (1999), 9–19 |
| 102. |
O. I. Bogoyavlenskii, “Algebraicheskie svoistva master-simmetrii i ikh primeneniya”, Dokl. RAN, 360:4 (1998), 445–447 |
| 103. |
O. I. Bogoyavlenskij, “The $A$-$B$-$C$-cohomologies for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:5 (1996), 199–204 |
| 104. |
O. I. Bogoyavlenskij, “A concept of integrability of dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 18:4 (1996), 163–168 |
| 105. |
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 |
| 106. |
O. I. Bogoyavlenskij, “A cohomology for dynamical systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:6 (1995), 253–258 |
| 107. |
O. I. Bogoyavlenskij, “Lie algebraic invariants of two compatible Poisson structures”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 129–134 |
| 108. |
O. I. Bogoyavlenskij, “Incompatible Poisson structures and integrable Hamiltonian systems”, C. R. Math. Rep. Acad. Sci. Canada, 17:4 (1995), 123–128 |
| 109. |
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 |
| 110. |
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 |
| 111. |
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 |
| 112. |
O. I. Bogoyavlenskij, “Existence of Riemann invariants and Hamiltonian structures”, C. R. Math. Rep. Acad. Sci. Canada, 15:4 (1993), 143–148 |
| 113. |
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 |
| 114. |
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 |
| 115. |
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 |
| 116. |
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 |
| 117. |
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 |
| 118. |
O. I. Bogoyavlenskii, Oprokidyvayuschiesya solitony, Nelineinye integriruemye uravneniya, Nauka, M., 1991 , 320 pp. |
| 119. |
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 |
| 120. |
O. I. Bogoyavlensky, “On integrable generalizations of Volterra systems”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 165–175 |
| 121. |
O. I. Bogoyavlensky, “Five constructions of integrable dynamical systems connected with the Korteweg-de Vries equation”, Acta Appl. Math., 13:3 (1988), 227–266 |
| 122. |
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 |
| 123. |
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) |
| 124. |
O. I. Bogoyavlenskii, “New integrable cases of Euler's equations”, J. Appl. Math. Mech., 49:1 (1985), 1–5 (1986) |
| 125. |
O. I. Bogoyavlensky, “Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions”, Astronom. Nachr., 306:1 (1985), 35–41 |
| 126. |
O. I. Bogoyavlenskii, “On the question of the existence of a fourth integral of the Euler equations”, Math. USSR-Izv., 27:3 (1986), 609 |
| 127. |
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) |
| 128. |
O. I. Bogoyavlenskii, “Novaya integriruemaya zadacha klassicheskoi mekhaniki”, Trudy III Mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki, v. 1, OIYaI, Dubna, 1984, 165–169 |
| 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 |
| 130. |
O. I. Bogoyavlenskii, “Self-similar motions of self-gravitating gas in stars”, Trudy seminara im. I. G. Petrovskogo, 6, 1981, 3–37 |
| 131. |
O. I. Bogoyavlenskii, Metody kachestvennoi teorii dinamicheskikh sistem v astrofizike i gazovoi dinamike, Naka, M., 1980 , 320 pp. |
| 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 |
| 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 |
| 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 |
| 135. |
O. I. Bogoyavlenskii, “Self-similar movements of gas in stars”, Astrofizika, 14:3 (1978), 501–514 |
| 136. |
O. I. Bogoyavlenskii, “Nonlinear oscillatory regimes in systems of hydrodynamic type”, Dokl. AN SSSR, 232:6 (1977), 1289–1292 |
| 137. |
O. I. Bogojavlenskii, “General relativistic self-similar solutions with a spherical shock wave”, Soviet Phys. JETP, 46:4 (1977), 633–640 |
| 138. |
O. I. Bogoyavlenskii, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei. II”, Trudy seminara im. I. G. Petrovskogo, 2, 1976, 67–112 |
| 139. |
O. I. Bogoyavlenskii, “O nekotorykh svoistvakh kosmologicheskoi modeli IX tipa s dvizheniem veschestva”, ZhETF, 70:2 (1976), 361–373 |
| 140. |
O. I. Bogoyavlenskii, S. P. Novikov, “Kachestvennaya teoriya odnorodnykh kosmologicheskikh modelei”, Trudy seminara im. I. G. Petrovskogo, 1, 1975, 7–43 |
| 141. |
O. I. Bogoyavlenskii, “Kolebatelnyi rezhim rasshireniya gazovogo oblaka v vakuum”, Pisma v Astron. zhurn., 1:9 (1975), 22–26 |
| 142. |
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 |
| 143. |
O. I. Bogoyavlenskii, “Asymptotic behaviors of Taub solutions near a singularity”, Uspekhi Mat. Nauk, 28:5(173) (1973), 231–232 |
| 144. |
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 ; |
| 145. |
Oleg I. Bogoyavlenskij, Yuyang Peng, “Autotransforms for Some Differential Equations and Their Physical Applications”, Regul. Chaotic Dyn., 25:6 (2020), 544–552 ; |
| 146. |
O. I. Bogoyavlenskii, “Some integrable cases of the Euler equations. II”, Dokl. Akad. Nauk SSSR, 292:2 (1987), 318–322 |
| 147. |
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 |
| 148. |
O. I. Bogoyavlenskii, “The Lagrangian structure of the Kirchhoff equations”, Dokl. Akad. Nauk SSSR, 288:2 (1986), 327–331 |
| 149. |
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 |
| 150. |
O. I. Bogoyavlenskii, “Periodic solutions in a model of pulsar rotation”, Dokl. Akad. Nauk SSSR, 276:2 (1984), 343–347 |
| 151. |
O. I. Bogoyavlenskii, “Integrable Euler equations on six-dimensional Lie algebras”, Dokl. Akad. Nauk SSSR, 273:1 (1983), 15–18 |
| 152. |
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 |
| 153. |
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 |
| 154. |
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 |
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