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Mokhov Oleg Ivanovich

Publications in Math-Net.Ru

  1. Algebraic-geometry approach to construction of semi-Hamiltonian systems of hydrodynamic type

    Izv. RAN. Ser. Mat., 87:6 (2023),  35–48
  2. On compatible diagonal metrics

    Uspekhi Mat. Nauk, 76:6(462) (2021),  195–196
  3. On algebraic-geometry methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines

    Funktsional. Anal. i Prilozhen., 54:3 (2020),  26–37
  4. On algebraic-geometry methods for constructing flat diagonal metrics of a special form

    Uspekhi Mat. Nauk, 74:4(448) (2019),  185–186
  5. Liouville integrability of the reduction of the associativity equations on the set of stationary points of an integral in the case of three primary fields

    Uspekhi Mat. Nauk, 74:2(446) (2019),  191–192
  6. Classification of the associativity equations possessing a Hamiltonian structure of Dubrovin–Novikov type

    Uspekhi Mat. Nauk, 73:1(439) (2018),  183–184
  7. Classification of the associativity equations with a first-order Hamiltonian operator

    TMF, 197:1 (2018),  124–137
  8. Pencils of compatible metrics and integrable systems

    Uspekhi Mat. Nauk, 72:5(437) (2017),  113–164
  9. On metrics of diagonal curvature

    Fundam. Prikl. Mat., 21:6 (2016),  171–182
  10. On Commutative Subalgebras of the Weyl Algebra Related to Commuting Operators of Arbitrary Rank and Genus

    Mat. Zametki, 94:2 (2013),  314–316
  11. Deformations of Poisson Structures by Closed $3$-Forms

    Mat. Zametki, 89:6 (2011),  944–947
  12. On Initial Data in the Problem of Consistency on Cubic Lattices for $3\times3$ Determinants

    SIGMA, 7 (2011), 075, 19 pp.
  13. Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type

    TMF, 167:1 (2011),  3–22
  14. Riemann invariants of semisimple non-locally bi-Hamiltonian systems of hydrodynamic type and compatible metrics

    Uspekhi Mat. Nauk, 65:6(396) (2010),  189–190
  15. Realization of Frobenius Manifolds as Submanifolds in Pseudo-Euclidean Spaces

    Trudy Mat. Inst. Steklova, 267 (2009),  226–244
  16. Consistency on Cubic Lattices for Determinants of Arbitrary Orders

    Trudy Mat. Inst. Steklova, 266 (2009),  202–217
  17. The Classification of Nonsingular Multidimensional Dubrovin–Novikov Brackets

    Funktsional. Anal. i Prilozhen., 42:1 (2008),  39–52
  18. On consistency of determinants on cubic lattices

    Uspekhi Mat. Nauk, 63:6(384) (2008),  169–170
  19. Duality in a special class of submanifolds and Frobenius manifolds

    Uspekhi Mat. Nauk, 63:2(380) (2008),  177–178
  20. Theory of submanifolds, associativity equations in 2D topological quantum field theories, and Frobenius manifolds

    TMF, 152:2 (2007),  368–376
  21. Nonlocal Hamiltonian Operators of Hydrodynamic Type with Flat Metrics, Integrable Hierarchies, and the Associativity Equations

    Funktsional. Anal. i Prilozhen., 40:1 (2006),  14–29
  22. Systems of integrals in involution and associativity equations

    Uspekhi Mat. Nauk, 61:3(369) (2006),  175–176
  23. The classification of multidimensional Poisson brackets of hydrodynamic type

    Uspekhi Mat. Nauk, 61:2(368) (2006),  167–168
  24. Non-local Hamiltonian operators of hydrodynamic type with flat metrics, and the associativity equations

    Uspekhi Mat. Nauk, 59:1(355) (2004),  187–188
  25. Lax Pairs for Equations Describing Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Reductions of the Lamй Equations

    TMF, 138:2 (2004),  283–296
  26. The Liouville Canonical Form for Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Hierarchies

    Funktsional. Anal. i Prilozhen., 37:2 (2003),  28–40
  27. Quasi-Frobenius Algebras and Their Integrable $N$-Parameter Deformations Generated by Compatible $(N\times N)$ Metrics of Constant Riemannian Curvature

    TMF, 136:1 (2003),  20–29
  28. Compatible Metrics of Constant Riemannian Curvature: Local Geometry, Nonlinear Equations, and Integrability

    Funktsional. Anal. i Prilozhen., 36:3 (2002),  36–47
  29. Lax pairs for compatible non-local Hamiltonian operators of hydrodynamic type

    Uspekhi Mat. Nauk, 57:6(348) (2002),  189–190
  30. Integrable bi-Hamiltonian hierarchies generated by compatible metrics of constant Riemannian curvature

    Uspekhi Mat. Nauk, 57:5(347) (2002),  157–158
  31. The Lax pair for non-singular pencils of metrics of constant Riemannian curvature

    Uspekhi Mat. Nauk, 57:3(345) (2002),  155–156
  32. Integrable bi-Hamiltonian systems of hydrodynamic type

    Uspekhi Mat. Nauk, 57:1(343) (2002),  157–158
  33. Compatible Dubrovin–Novikov Hamiltonian Operators, Lie Derivative, and Integrable Systems of Hydrodynamic Type

    TMF, 133:2 (2002),  279–288
  34. Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Hierarchies Related to Them

    TMF, 132:1 (2002),  60–73
  35. Integrability of the Equations for Nonsingular Pairs of Compatible Flat Metrics

    TMF, 130:2 (2002),  233–250
  36. Compatible and Almost Compatible Pseudo-Riemannian Metrics

    Funktsional. Anal. i Prilozhen., 35:2 (2001),  24–36
  37. Compatible Dubrovin–Novikov Hamiltonian operators and the Lie derivative

    Uspekhi Mat. Nauk, 56:6(342) (2001),  161–162
  38. Flat pencils of metrics and integrable reductions of Lamé's equations

    Uspekhi Mat. Nauk, 56:2(338) (2001),  221–222
  39. Compatible and almost compatible metrics

    Uspekhi Mat. Nauk, 55:4(334) (2000),  217–218
  40. Compatible Poisson Structures of Hydrodynamic Type and Associativity Equations

    Trudy Mat. Inst. Steklova, 225 (1999),  284–300
  41. On the Cohomology Groups of Complexes of Homogeneous Forms on Loop Spaces of Smooth Manifolds

    Funktsional. Anal. i Prilozhen., 32:3 (1998),  22–34
  42. Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems

    Uspekhi Mat. Nauk, 53:3(321) (1998),  85–192
  43. On compatible potential deformations of Frobenius algebras and associativity equations

    Uspekhi Mat. Nauk, 53:2(320) (1998),  153–154
  44. On compatible Poisson structures of hydrodynamic type

    Uspekhi Mat. Nauk, 52:6(318) (1997),  171–172
  45. Differential geometry of symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems

    Trudy Mat. Inst. Steklova, 217 (1997),  100–134
  46. The Associativity Equations in the Two-Dimensional Topological Field Theory as Integrable Hamiltonian Nondiagonalizable Systems of Hydrodynamic Type

    Funktsional. Anal. i Prilozhen., 30:3 (1996),  62–72
  47. Complex homogeneous forms on loop spaces of smooth manifolds and their cohomology groups

    Uspekhi Mat. Nauk, 51:2(308) (1996),  141–142
  48. Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature

    Funktsional. Anal. i Prilozhen., 28:2 (1994),  60–63
  49. Homogeneous symplectic structures of second order on loop spaces and symplectic connections

    Funktsional. Anal. i Prilozhen., 25:2 (1991),  65–67
  50. Canonical Hamiltonian representation of the Krichever–Novikov equation

    Mat. Zametki, 50:3 (1991),  87–96
  51. Симплектические формы на пространстве петель и риманова геометрия

    Funktsional. Anal. i Prilozhen., 24:3 (1990),  86–87
  52. Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature

    Uspekhi Mat. Nauk, 45:3(273) (1990),  191–192
  53. A Hamiltonian structure of evolution in the space variable $x$ for the Korteweg–de Vries equation

    Uspekhi Mat. Nauk, 45:1(271) (1990),  181–182
  54. Commuting differential operators of rank 3, and nonlinear differential equations

    Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989),  1291–1315
  55. Canonical variables for the two-dimensional hydrodynamics of an incompressible fluid with vorticity

    TMF, 78:1 (1989),  136–139
  56. Dubrovin–Novikov type Poisson brackets (DN-brackets)

    Funktsional. Anal. i Prilozhen., 22:4 (1988),  92–93
  57. Hamiltonian differential operators and contact geometry

    Funktsional. Anal. i Prilozhen., 21:3 (1987),  53–60
  58. On the Hamiltonian property of an arbitrary evolution system on the set of stationary points of its integral

    Izv. Akad. Nauk SSSR Ser. Mat., 51:6 (1987),  1345–1352
  59. Local third-order Poisson brackets

    Uspekhi Mat. Nauk, 40:5(245) (1985),  257–258
  60. The Hamiltonian property of an evolutionary flow on the set of stationary points of its integral

    Uspekhi Mat. Nauk, 39:4(238) (1984),  173–174
  61. Commuting ordinary differential operators of rank 3 corresponding to an elliptic curve

    Uspekhi Mat. Nauk, 37:4(226) (1982),  169–170

  62. Irina Yakovlevna Dorfman (obituary)

    Uspekhi Mat. Nauk, 50:6(306) (1995),  151–156

© Steklov Math. Inst. of RAS, 2024