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Pencils of compatible metrics and integrable systems

Russian mathematical surveys, 2017-10, Vol.72 (5), p.889-937

Mokhov, O. I.

2017

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On Metrics of Diagonal Curvature

Journal of mathematical sciences (New York, N.Y.), 2020-10, Vol.248 (6), p.780-787

Mokhov, O. I.

2020

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On Algebraic-Geometric Methods for Constructing Submanifolds with Flat Normal Bundle and Holonomic Net of Curvature Lines

Functional analysis and its applications, 2020-07, Vol.54 (3), p.169-178

2020

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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

Russian mathematical surveys, 2019-04, Vol.74 (2), p.369-371

2019

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On algebraic-geometry methods for constructing flat diagonal metrics of a special form

Russian mathematical surveys, 2019-08, Vol.74 (4), p.761-763

2019

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Classification of the Associativity Equations with A First-Order Hamiltonian Operator

Theoretical and mathematical physics, 2018-10, Vol.197 (1), p.1501-1513

2018

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Classification of the associativity equations possessing a Hamiltonian structure of Dubrovin-Novikov type

Russian mathematical surveys, 2018-02, Vol.73 (1), p.175-177

2018

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Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems

Russian mathematical surveys, 1998-06, Vol.53 (3), p.515-622

Mokhov, O I

1998

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On a Class of Two-Dimensional Douglas and Projectively Flat Finsler Metrics

TheScientificWorld, 2013-01, Vol.2013 (1), p.291491-291491

2013

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The Lax pair for non-singular pencils of metrics of constant Riemannian curvature

Russian mathematical surveys, 2002-06, Vol.57 (3), p.603-605

Mokhov, O I

2002

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Duality in a special class of submanifolds and Frobenius manifolds

Russian mathematical surveys, 2008-04, Vol.63 (2), p.378-380

Mokhov, O I

2008

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Integrable bi-Hamiltonian hierarchies generated by compatible metrics of constant Riemannian curvature

Russian mathematical surveys, 2002-10, Vol.57 (5), p.999-1001

Mokhov, O I

2002

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Lax pairs for compatible non-local Hamiltonian operators of hydrodynamic type

Russian mathematical surveys, 2002-12, Vol.57 (6), p.1234-1235

Mokhov, O I

2002

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Flat pencils of metrics and integrable reductions of Lamé's equations

Russian mathematical surveys, 2001-04, Vol.56 (2), p.416-418

Mokhov, O I

2001

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Compatible and almost compatible metrics

Russian mathematical surveys, 2000-08, Vol.55 (4), p.819-821

Mokhov, O I

2000

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Compatible Dubrovin-Novikov Hamiltonian operators and the Lie derivative

Russian mathematical surveys, 2001-12, Vol.56 (6), p.1175-1176

Mokhov, O I

2001

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The classification of multidimensional Poisson brackets of hydrodynamic type

Russian mathematical surveys, 2006-04, Vol.61 (2), p.356-358

Mokhov, O I

2006

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Systems of integrals in involution and the associativity equations

Russian mathematical surveys, 2006-06, Vol.61 (3), p.568-570, Article 568

Mokhov, O I

2006

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On compatible diagonal metrics

Russian mathematical surveys, 2021-12, Vol.76 (6), p.1140-1142

2021

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

Izvestiya. Mathematics, 2023, Vol.87 (6), p.1148-1160

2023

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On compatible potential deformations of Frobenius algebras and associativity equations

Russian mathematical surveys, 1998-04, Vol.53 (2), p.396-397

Mokhov, O I

1998

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On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus

Mathematical Notes, 2013-07, Vol.94 (1-2), p.298-300

Mokhov, O. I.

2013

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Nonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies, and the associativity equations

Functional analysis and its applications, 2006-01, Vol.40 (1), p.11-23

Mokhov, O. I.

2006

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On compatible Poisson structures of hydrodynamic type

Russian mathematical surveys, 1997-12, Vol.52 (6), p.1310-1311

Mokhov, O I

1997

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Hamiltonian systems of hydrodynamic type and constant curvature metrics

Physics letters. A, 1992-06, Vol.166 (3), p.215-216

Mokhov, O.I.

1992

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Pencils of compatible metrics and integrable systems

On Metrics of Diagonal Curvature

On Algebraic-Geometric Methods for Constructing Submanifolds with Flat Normal Bundle and Holonomic Net of Curvature Lines

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

On algebraic-geometry methods for constructing flat diagonal metrics of a special form

Classification of the Associativity Equations with A First-Order Hamiltonian Operator

Classification of the associativity equations possessing a Hamiltonian structure of Dubrovin-Novikov type

Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems

On a Class of Two-Dimensional Douglas and Projectively Flat Finsler Metrics

The Lax pair for non-singular pencils of metrics of constant Riemannian curvature

Duality in a special class of submanifolds and Frobenius manifolds

Integrable bi-Hamiltonian hierarchies generated by compatible metrics of constant Riemannian curvature

Lax pairs for compatible non-local Hamiltonian operators of hydrodynamic type

Flat pencils of metrics and integrable reductions of Lamé's equations

Compatible and almost compatible metrics

Compatible Dubrovin-Novikov Hamiltonian operators and the Lie derivative

The classification of multidimensional Poisson brackets of hydrodynamic type

Systems of integrals in involution and the associativity equations

On compatible diagonal metrics

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

On compatible potential deformations of Frobenius algebras and associativity equations

On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus

Nonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies, and the associativity equations

On compatible Poisson structures of hydrodynamic type

Hamiltonian systems of hydrodynamic type and constant curvature metrics

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