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Ferapontov, Evgeny Vladimirovich

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Author ID: ferapontov.evgeny-vladimirovich Recent zbMATH articles by "Ferapontov, Evgeny Vladimirovich"
Published as: Ferapontov, E.; Ferapontov, E. V.; Ferapontov, E.v.; Ferapontov, Eugene V.; Ferapontov, Evgeny V.; Ferapontov, Evgeny Vladimirovich
Homepage: http://homepages.lboro.ac.uk/~maevf/
External Links: Math-Net.Ru
Documents Indexed: 108 Publications since 1987, including 1 Book
all top 5

Co-Authors

36 single-authored
10 Novikov, Vladimir S.
9 Khusnutdinova, Karima Robertovna
9 Pavlov, Maxim V.
6 Agafonov, Sergey I.
6 Mokhov, Oleg I.
5 Kruglikov, Boris S.
4 Doubrov, Boris M.
4 Vitolo, Raffaele F.
3 Balk, Alexander M.
3 Fordy, Allan P.
3 Tsarev, Sergej Petrovich
2 Adler, Vsevolod Eduardovich
2 Bogdanov, Leonid Vital’evich
2 Grundland, Alfred Michel
2 Khabibullin, Ismagil Talgatovich
2 Marshall, D. G.
2 Moro, Alessio
2 Nutku, Yavuz
2 Odesskii, Alexander
2 Roustemoglou, I.
2 Schief, Wolfgang Karl
2 Sharipov, Ruslan A.
2 Sokolov, Vladimir Vyacheslavovich
2 Stoilov, Nikola M.
1 Berest, Yuri Yu.
1 Bukhshtaber, Viktor Matveevich
1 Burovsky, P. A.
1 Casati, Matteo
1 Chalykh, Oleg A.
1 Cherdantsev, I. Yu.
1 Cléry, Fabien
1 Dubrovin, Boris Anatol’evich
1 Dunajski, Maciej
1 Etingof, Pavel Il’ich
1 Feigin, Misha V.
1 Felder, J.
1 Fordi, A. P.
1 Galvão, Carlos A. P.
1 Garifullin, Rustem N.
1 Grinevich, Pëtr Georgievich
1 Hadjikos, Lenos
1 Huard, Benoit
1 Klein, Christian
1 Korotkin, Dmitrii A.
1 Krichever, Igor’ Moiseevich
1 Kuznetsova, Mariya Nikolaevna
1 Levi, Decio
1 Lorenzoni, Paolo
1 Malashenko, Yurii Evgen’evich
1 Mikhailov, Alexander Vasil’evich
1 Moro, Antonino
1 Mos, J.
1 Moss, J. D. jun.
1 Musin, Il’dar Khamitovich
1 Niĭkhof, F. W.
1 Novikov, Sergeĭ Petrovich
1 Rogers, Colin
1 Rogozhin, V. S.
1 Savoldi, Andrea
1 Sergeev, Aleksandr Nikolaevich
1 Shramchenko, Vasilisa
1 Suleĭmanov, Bulat Irekovich
1 Svirshchevskii, Sergey R.
1 Veselov, Alexander Petrovich
1 Vinternitz, P.
1 Yulmukhametov, Rinad Salavatovich
1 Zhang, Ailing
1 Zhiber, Anatoliĭ Vasil’evich

Publications by Year

Citations contained in zbMATH

94 Publications have been cited 794 times in 391 Documents Cited by Year
On the integrability of \((2+1)\)-dimensional quasilinear systems. Zbl 1070.37047
Ferapontov, E. V.; Khusnutdinova, K. R.
60
2004
Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature. Zbl 0712.35080
Mokhov, O. I.; Ferapontov, E. V.
34
1990
The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042
Ferapontov, E. V.; Khusnutdinova, K. R.
28
2004
Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type. Zbl 0742.58018
Ferapontov, E. V.
27
1991
Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118
Ferapontov, E. V.; Khusnutdinova, K. R.
23
2004
Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084
Ferapontov, Eugene V.; Kruglikov, Boris S.
22
2014
On the integrability of symplectic Monge-Ampère equations. Zbl 1195.35109
Doubrov, B.; Ferapontov, E. V.
22
2010
Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007
Ferapontov, E. V.; Veselov, A. P.
22
2001
Nonlocal Hamiltonian operator of hydrodynamic type: Differential geometry and applications. Zbl 0845.58029
Ferapontov, E. V.
19
1995
On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058
Dunajski, M.; Ferapontov, E. V.; Kruglikov, B.
18
2015
On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045
Ferapontov, E. V.; Khusnutdinova, K. R.; Tsarev, S. P.
18
2006
The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type. Zbl 0873.35090
Ferapontov, E. V.; Mokhov, O. I.
17
1996
Linearly degenerate partial differential equations and quadratic line complexes. Zbl 1310.53013
Ferapontov, E. V.; Mos, J.
16
2015
Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory. Zbl 0885.58023
Ferapontov, E. V.; Galvão, C. A. P.; Mokhov, O. I.; Nutku, Y.
16
1997
Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants. Zbl 0847.53001
Ferapontov, E. V.
16
1995
Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems. Zbl 0872.53005
Ferapontov, E. V.
15
1995
On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants. Zbl 0768.76010
Ferapontov, E. V.
15
1993
Compatible Poisson brackets of hydrodynamic type. Zbl 1010.37044
Ferapontov, E. V.
14
2001
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P.
14
1997
Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems. Zbl 1061.37046
Ferapontov, E. V.; Pavlov, M. V.
13
2003
Invariants of wave systems and web geometry. Zbl 0913.76008
Balk, A. M.; Ferapontov, E. V.
13
1998
Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. Zbl 1145.37034
Ferapontov, E. V.; Marshall, D. G.
12
2007
Laplace transformations of hydrodynamic-type systems in Riemann invariants. Zbl 0919.35132
Ferapontov, E. V.
12
1997
Hamiltonian operators of Dubrovin-Novikov type in 2D. Zbl 1310.37027
Ferapontov, Evgeny V.; Lorenzoni, Paolo; Savoldi, Andrea
11
2015
Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solution. Zbl 0714.35070
Ferapontov, E. V.
11
1989
Second-order quasilinear PDEs and conformal structures in projective space. Zbl 1198.35104
Burovskiy, P. A.; Ferapontov, E. V.; Tsarev, S. P.
10
2010
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215
Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna
10
2010
Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072
Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V.
10
2005
Integrable systems in projective differential geometry. Zbl 0999.53010
Ferapontov, E. V.
10
2000
Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability. Zbl 0930.35164
Ferapontov, E. V.; Schief, W. K.
10
1999
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P.
10
1997
Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure. Zbl 0742.35055
Ferapontov, E. V.; Pavlov, M. V.
10
1991
Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space. Zbl 0741.58016
Ferapontov, E. V.
10
1990
Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1228.37041
Ferapontov, E. V.; Moro, A.; Sokolov, V. V.
9
2009
Hydrodynamic reductions of the heavenly equation. Zbl 1029.83022
Ferapontov, E. V.; Pavlov, M. V.
9
2003
Systems of conservation laws of Temple class, equations of associativity and linear congruences in \(\mathbb P^4\). Zbl 1149.35385
Agafonov, S. I.; Ferapontov, E. V.
9
2001
Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants. Zbl 0851.58022
Ferapontov, E. V.
9
1994
Reciprocal transformations and their invariants. Zbl 0713.76083
Ferapontov, E. V.
9
1989
On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian
8
2011
Boyer-Finley equation and systems of hydrodynamic type. Zbl 1026.83031
Ferapontov, E. V.; Korotkin, D. A.; Shramchenko, V. A.
8
2002
Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry. Zbl 0990.53008
Ferapontov, E. V.
8
1999
Laplace transformations by hydrodynamic-type systems in Riemann invariants: Periodic sequences. Zbl 0924.35140
Ferapontov, E. V.
7
1997
Dirac reduction of the Hamiltonian operator \(\delta^{IJ}d/dx\) to a submanifold of Euclidean space with flat normal connection. Zbl 0802.58023
Ferapontov, E. V.
7
1992
Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071
Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F.
6
2014
Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. Zbl 1317.37071
Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M.
6
2011
Surfaces with flat normal bundle: An explicit construction. Zbl 0992.53007
Ferapontov, E. V.
6
2001
Lie sphere geometry and integrable systems. Zbl 1058.53012
Ferapontov, Eugene V.
6
2000
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P.
6
1999
Integrable Lagrangians and modular forms. Zbl 1188.35161
Ferapontov, E. V.; Odesskii, A. V.
5
2010
The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability. Zbl 1149.37322
Ferapontov, E.v.; Khusnutdinova, K. R.
5
2006
Integrable equations in \(2 + 1\) dimensions: deformations of dispersionless limits. Zbl 1180.35443
Ferapontov, E. V.; Moro, A.; Novikov, V. S.
4
2009
Dispersive deformations of hydrodynamic reductions of \((2 + 1)\)D dispersionless integrable systems. Zbl 1160.35465
Ferapontov, E. V.; Moro, A.
4
2009
Analog of Wilczynski’s projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields. Zbl 1052.53018
Ferapontov, E. V.
4
2002
On the Hamiltonian representation of the associativity equations. Zbl 0866.35095
Ferapontov, E. V.; Mokhov, O. I.
4
1997
On first-order conservation laws for systems of hydrodynamic-type equations. Zbl 0934.35090
Ferapontov, E. V.; Sharipov, R. A.
4
1996
Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature. Zbl 0832.53027
Mokhov, O. I.; Ferapontov, E. V.
4
1994
Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0802.58029
Ferapontov, E. V.
4
1992
Systems of hydrodynamic type that arise in gas chromatography. Riemann invariants and exact solutions. Zbl 1189.76583
Ferapontov, E. V.; Tsarëv, S. P.
4
1991
On integrability in Grassmann geometries: integrable systems associated with fourfolds in \(\mathbf{Gr}(3,5)\). Zbl 1404.37090
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
3
2018
On the classification of discrete Hirota-type equations in 3D. Zbl 1320.35310
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I.
3
2015
On the central quadric ansatz: integrable models and Painlevé reductions. Zbl 1252.35017
Ferapontov, E. V.; Huard, B.; Zhang, A.
3
2012
Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056
Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V.
3
2006
Hypersurfaces with flat centroaffine metric and equations of associativity. Zbl 1071.53006
Ferapontov, E. V.
3
2004
Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems. Zbl 1067.53003
Agafonov, S. I.; Ferapontov, E. V.
3
2002
Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006
Ferapontov, E. V.; Grundland, A. M.
3
2000
The equations of the associativity as hydrodynamical type system: Hamiltonian representation and integrability. Zbl 0941.58502
Ferapontov, E. V.; Mokhov, O. I.
3
1996
Systems of conservation laws in the context of the projective theory of congruences. Zbl 0889.35063
Agafonov, S. I.; Ferapontov, E. V.
3
1996
Invariants of 4-wave interactions. Zbl 0772.73022
Balk, A.; Ferapontov, E.
3
1993
Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0787.58016
Ferapontov, E. V.
3
1992
Integrable systems in four dimensions associated with six-folds in \(\mathbf{Gr}(4,6)\). Zbl 1430.53007
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
2
2019
On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091
Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S.
2
2017
Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016
Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F.
2
2016
Towards the classification of integrable differential-difference equations in \(2+1\) dimensions. Zbl 1329.35263
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I.
2
2013
Ordinary differential equations which linearize on differentiation. Zbl 1125.34306
Ferapontov, E. V.; Svirshchevskii, S. R.
2
2007
Integrable four-component systems of conservation laws and linear congruences in \(\mathbb P ^5\). Zbl 1087.53018
Agafonov, S. I.; Ferapontov, E. V.
2
2005
Invariant description of solutions of hydrodynamic-type systems in hodograph space: Hydrodynamic surfaces. Zbl 1039.53008
Ferapontov, E. V.
2
2002
Theory of congruences and systems of conservation laws. Zbl 1019.35062
Agafonov, S. I.; Ferapontov, E. V.
2
1999
Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117
Ferapontov, E. V.; Rogers, C.; Schief, W. K.
2
1998
Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators. Zbl 0859.53005
Ferapontov, E. V.
2
1995
On the Monge-Ampère equivalent of the sine-Gordon equation. Zbl 0845.35105
Ferapontov, E. V.; Nutku, Y.
2
1994
Equations of hydrodynamic type from the point of view of the theory of webs. Zbl 0798.35130
Ferapontov, E. V.
2
1991
Autotransformations with respect to solutions and hydrodynamic symmetry. Zbl 0796.76074
Ferapontov, E. V.
2
1991
Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050
Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F.
1
2018
Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1321.37069
Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M.
1
2012
Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017
Bogdanov, L. V.; Ferapontov, E. V.
1
2004
Decomposition of higher-order equations of Monge–Ampère type. Zbl 1028.35047
Ferapontov, E. V.
1
2002
Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator. Zbl 1035.53007
Ferapontov, E. V.
1
2002
Systems of conservation laws within the framework of the projective theory of congruences: The Lévy transformations of semi-Hamiltonian systems. Zbl 0970.37059
Ferapontov, E. V.
1
2000
A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045
Bogdanov, L. V.; Ferapontov, E. V.
1
1998
Wave systems with an infinite number of invariants. Zbl 0809.35077
Balk, A.; Ferapontov, E.
1
1994
Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0798.76003
Ferapontov, E. V.
1
1992
Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0760.58013
Ferapontov, E. V.
1
1992
Deterministic models for estimating viability and vulnerability of networks. Zbl 0698.90027
Malashenko, Yu. E.; Rogozhin, V. S.; Ferapontov, E. V.
1
1989
Weakly-nonlinear semi-Hamiltonian systems of three differential equations from the point of view of the theory of webs. Zbl 0714.53020
Ferapontov, E. V.
1
1988
Integrable systems in four dimensions associated with six-folds in \(\mathbf{Gr}(4,6)\). Zbl 1430.53007
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
2
2019
On integrability in Grassmann geometries: integrable systems associated with fourfolds in \(\mathbf{Gr}(3,5)\). Zbl 1404.37090
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
3
2018
Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050
Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F.
1
2018
On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091
Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S.
2
2017
Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016
Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F.
2
2016
On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058
Dunajski, M.; Ferapontov, E. V.; Kruglikov, B.
18
2015
Linearly degenerate partial differential equations and quadratic line complexes. Zbl 1310.53013
Ferapontov, E. V.; Mos, J.
16
2015
Hamiltonian operators of Dubrovin-Novikov type in 2D. Zbl 1310.37027
Ferapontov, Evgeny V.; Lorenzoni, Paolo; Savoldi, Andrea
11
2015
On the classification of discrete Hirota-type equations in 3D. Zbl 1320.35310
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I.
3
2015
Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084
Ferapontov, Eugene V.; Kruglikov, Boris S.
22
2014
Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071
Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F.
6
2014
Towards the classification of integrable differential-difference equations in \(2+1\) dimensions. Zbl 1329.35263
Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I.
2
2013
On the central quadric ansatz: integrable models and Painlevé reductions. Zbl 1252.35017
Ferapontov, E. V.; Huard, B.; Zhang, A.
3
2012
Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1321.37069
Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M.
1
2012
On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian
8
2011
Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. Zbl 1317.37071
Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M.
6
2011
On the integrability of symplectic Monge-Ampère equations. Zbl 1195.35109
Doubrov, B.; Ferapontov, E. V.
22
2010
Second-order quasilinear PDEs and conformal structures in projective space. Zbl 1198.35104
Burovskiy, P. A.; Ferapontov, E. V.; Tsarev, S. P.
10
2010
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215
Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna
10
2010
Integrable Lagrangians and modular forms. Zbl 1188.35161
Ferapontov, E. V.; Odesskii, A. V.
5
2010
Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1228.37041
Ferapontov, E. V.; Moro, A.; Sokolov, V. V.
9
2009
Integrable equations in \(2 + 1\) dimensions: deformations of dispersionless limits. Zbl 1180.35443
Ferapontov, E. V.; Moro, A.; Novikov, V. S.
4
2009
Dispersive deformations of hydrodynamic reductions of \((2 + 1)\)D dispersionless integrable systems. Zbl 1160.35465
Ferapontov, E. V.; Moro, A.
4
2009
Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. Zbl 1145.37034
Ferapontov, E. V.; Marshall, D. G.
12
2007
Ordinary differential equations which linearize on differentiation. Zbl 1125.34306
Ferapontov, E. V.; Svirshchevskii, S. R.
2
2007
On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045
Ferapontov, E. V.; Khusnutdinova, K. R.; Tsarev, S. P.
18
2006
The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability. Zbl 1149.37322
Ferapontov, E.v.; Khusnutdinova, K. R.
5
2006
Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056
Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V.
3
2006
Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072
Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V.
10
2005
Integrable four-component systems of conservation laws and linear congruences in \(\mathbb P ^5\). Zbl 1087.53018
Agafonov, S. I.; Ferapontov, E. V.
2
2005
On the integrability of \((2+1)\)-dimensional quasilinear systems. Zbl 1070.37047
Ferapontov, E. V.; Khusnutdinova, K. R.
60
2004
The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042
Ferapontov, E. V.; Khusnutdinova, K. R.
28
2004
Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118
Ferapontov, E. V.; Khusnutdinova, K. R.
23
2004
Hypersurfaces with flat centroaffine metric and equations of associativity. Zbl 1071.53006
Ferapontov, E. V.
3
2004
Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017
Bogdanov, L. V.; Ferapontov, E. V.
1
2004
Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems. Zbl 1061.37046
Ferapontov, E. V.; Pavlov, M. V.
13
2003
Hydrodynamic reductions of the heavenly equation. Zbl 1029.83022
Ferapontov, E. V.; Pavlov, M. V.
9
2003
Boyer-Finley equation and systems of hydrodynamic type. Zbl 1026.83031
Ferapontov, E. V.; Korotkin, D. A.; Shramchenko, V. A.
8
2002
Analog of Wilczynski’s projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields. Zbl 1052.53018
Ferapontov, E. V.
4
2002
Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems. Zbl 1067.53003
Agafonov, S. I.; Ferapontov, E. V.
3
2002
Invariant description of solutions of hydrodynamic-type systems in hodograph space: Hydrodynamic surfaces. Zbl 1039.53008
Ferapontov, E. V.
2
2002
Decomposition of higher-order equations of Monge–Ampère type. Zbl 1028.35047
Ferapontov, E. V.
1
2002
Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator. Zbl 1035.53007
Ferapontov, E. V.
1
2002
Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007
Ferapontov, E. V.; Veselov, A. P.
22
2001
Compatible Poisson brackets of hydrodynamic type. Zbl 1010.37044
Ferapontov, E. V.
14
2001
Systems of conservation laws of Temple class, equations of associativity and linear congruences in \(\mathbb P^4\). Zbl 1149.35385
Agafonov, S. I.; Ferapontov, E. V.
9
2001
Surfaces with flat normal bundle: An explicit construction. Zbl 0992.53007
Ferapontov, E. V.
6
2001
Integrable systems in projective differential geometry. Zbl 0999.53010
Ferapontov, E. V.
10
2000
Lie sphere geometry and integrable systems. Zbl 1058.53012
Ferapontov, Eugene V.
6
2000
Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006
Ferapontov, E. V.; Grundland, A. M.
3
2000
Systems of conservation laws within the framework of the projective theory of congruences: The Lévy transformations of semi-Hamiltonian systems. Zbl 0970.37059
Ferapontov, E. V.
1
2000
Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability. Zbl 0930.35164
Ferapontov, E. V.; Schief, W. K.
10
1999
Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry. Zbl 0990.53008
Ferapontov, E. V.
8
1999
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P.
6
1999
Theory of congruences and systems of conservation laws. Zbl 1019.35062
Agafonov, S. I.; Ferapontov, E. V.
2
1999
Invariants of wave systems and web geometry. Zbl 0913.76008
Balk, A. M.; Ferapontov, E. V.
13
1998
Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117
Ferapontov, E. V.; Rogers, C.; Schief, W. K.
2
1998
A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045
Bogdanov, L. V.; Ferapontov, E. V.
1
1998
Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory. Zbl 0885.58023
Ferapontov, E. V.; Galvão, C. A. P.; Mokhov, O. I.; Nutku, Y.
16
1997
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P.
14
1997
Laplace transformations of hydrodynamic-type systems in Riemann invariants. Zbl 0919.35132
Ferapontov, E. V.
12
1997
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P.
10
1997
Laplace transformations by hydrodynamic-type systems in Riemann invariants: Periodic sequences. Zbl 0924.35140
Ferapontov, E. V.
7
1997
On the Hamiltonian representation of the associativity equations. Zbl 0866.35095
Ferapontov, E. V.; Mokhov, O. I.
4
1997
The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type. Zbl 0873.35090
Ferapontov, E. V.; Mokhov, O. I.
17
1996
On first-order conservation laws for systems of hydrodynamic-type equations. Zbl 0934.35090
Ferapontov, E. V.; Sharipov, R. A.
4
1996
The equations of the associativity as hydrodynamical type system: Hamiltonian representation and integrability. Zbl 0941.58502
Ferapontov, E. V.; Mokhov, O. I.
3
1996
Systems of conservation laws in the context of the projective theory of congruences. Zbl 0889.35063
Agafonov, S. I.; Ferapontov, E. V.
3
1996
Nonlocal Hamiltonian operator of hydrodynamic type: Differential geometry and applications. Zbl 0845.58029
Ferapontov, E. V.
19
1995
Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants. Zbl 0847.53001
Ferapontov, E. V.
16
1995
Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems. Zbl 0872.53005
Ferapontov, E. V.
15
1995
Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators. Zbl 0859.53005
Ferapontov, E. V.
2
1995
Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants. Zbl 0851.58022
Ferapontov, E. V.
9
1994
Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature. Zbl 0832.53027
Mokhov, O. I.; Ferapontov, E. V.
4
1994
On the Monge-Ampère equivalent of the sine-Gordon equation. Zbl 0845.35105
Ferapontov, E. V.; Nutku, Y.
2
1994
Wave systems with an infinite number of invariants. Zbl 0809.35077
Balk, A.; Ferapontov, E.
1
1994
On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants. Zbl 0768.76010
Ferapontov, E. V.
15
1993
Invariants of 4-wave interactions. Zbl 0772.73022
Balk, A.; Ferapontov, E.
3
1993
Dirac reduction of the Hamiltonian operator \(\delta^{IJ}d/dx\) to a submanifold of Euclidean space with flat normal connection. Zbl 0802.58023
Ferapontov, E. V.
7
1992
Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0802.58029
Ferapontov, E. V.
4
1992
Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0787.58016
Ferapontov, E. V.
3
1992
Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0798.76003
Ferapontov, E. V.
1
1992
Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0760.58013
Ferapontov, E. V.
1
1992
Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type. Zbl 0742.58018
Ferapontov, E. V.
27
1991
Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure. Zbl 0742.35055
Ferapontov, E. V.; Pavlov, M. V.
10
1991
Systems of hydrodynamic type that arise in gas chromatography. Riemann invariants and exact solutions. Zbl 1189.76583
Ferapontov, E. V.; Tsarëv, S. P.
4
1991
Equations of hydrodynamic type from the point of view of the theory of webs. Zbl 0798.35130
Ferapontov, E. V.
2
1991
Autotransformations with respect to solutions and hydrodynamic symmetry. Zbl 0796.76074
Ferapontov, E. V.
2
1991
Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature. Zbl 0712.35080
Mokhov, O. I.; Ferapontov, E. V.
34
1990
Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space. Zbl 0741.58016
Ferapontov, E. V.
10
1990
Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solution. Zbl 0714.35070
Ferapontov, E. V.
11
1989
Reciprocal transformations and their invariants. Zbl 0713.76083
Ferapontov, E. V.
9
1989
Deterministic models for estimating viability and vulnerability of networks. Zbl 0698.90027
Malashenko, Yu. E.; Rogozhin, V. S.; Ferapontov, E. V.
1
1989
Weakly-nonlinear semi-Hamiltonian systems of three differential equations from the point of view of the theory of webs. Zbl 0714.53020
Ferapontov, E. V.
1
1988
all top 5

Cited by 338 Authors

50 Ferapontov, Evgeny Vladimirovich
24 Pavlov, Maxim V.
19 Morozov, Oleg I.
15 Mokhov, Oleg I.
12 Krasil’shchik, Iosif Semënovich
12 Lorenzoni, Paolo
10 Kruglikov, Boris S.
10 Sergyeyev, Artur
10 Vitolo, Raffaele F.
9 Agafonov, Sergey I.
9 Odesskii, Alexander
9 Schief, Wolfgang Karl
9 Sokolov, Vladimir Vyacheslavovich
8 Dunajski, Maciej
8 Vojčák, Petr
7 Balk, Alexander M.
7 Bogoyavlenskij, Oleg Igorevich
7 Prykarpatsky, Anatoliy Karolevych
7 Yazıcı, Devrim
7 Zhang, Youjin
6 Błaszak, Maciej
6 Bogdanov, Leonid Vital’evich
6 Fordy, Allan P.
6 Khusnutdinova, Karima Robertovna
6 Liu, Siqi
6 Rogers, Colin
6 Santini, Paolo Maria
6 Sheftel, Mikhail B.
6 Strachan, Ian A. B.
5 Casati, Matteo
5 Grundland, Alfred Michel
5 Khabibullin, Ismagil Talgatovich
5 Klein, Christian
5 Mal’tsev, Andreĭ Yakovlevich
5 Marikhin, Vladimir G.
5 Mouayn, Zouhaïr
5 Novikov, Vladimir S.
5 Prykarpatsky, Yarema Anatoliyovych
5 Stoilov, Nikola M.
4 Baran, Hynek
4 Bialy, Misha
4 Ghanmi, Allal
4 Gibbons, John
4 Grinevich, Pëtr Georgievich
4 Kryński, Wojciech
4 Manno, Gianni
4 Mironov, Andreĭ Evgen’evich
4 Raimondo, Andrea
4 Savoldi, Andrea
4 Shabat, Alekseĭ Borisovich
4 Tsarev, Sergej Petrovich
4 Zenchuk, Alexandre I.
3 Blackmore, Denis L.
3 Carlet, Guido
3 De Poi, Pietro
3 Dubrovin, Boris Anatol’evich
3 Grahovski, Georgi G.
3 Kuznetsova, Mariya Nikolaevna
3 Lelito, Aleksandra
3 Mezzetti, Emilia
3 Pedroni, Marco
3 Poptsova, Mariya Nikolaevna
3 Shadrin, Sergey V.
3 Sharipov, Ruslan A.
3 Shelekhov, Alexander M.
3 Verbovetsky, Alexander Moiseevich
3 Yehia, Hamad M.
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Alonso-Blanco, Ricardo J.
2 Arsie, Alessandro
2 Athorne, Chris
2 Ballesteros, Angel
2 Biondini, Gino
2 Blasco, Alfonso
2 Dajczer, Marcos
2 Dinar, Yassir Ibrahim
2 Doliwa, Adam
2 Doubrov, Boris M.
2 El, Gennady A.
2 Gerdzhikov, Vladimir Stefanov
2 Glukhov, E. V.
2 Grava, Tamara
2 Hentosh, Oksana E.
2 Hentosh, Oksana Ye.
2 Herranz, Francisco José
2 Holba, P.
2 Huard, Benoit
2 Ivanov, Rossen I.
2 Konopelchenko, Boris Georgievich
2 Kordyukov, Yuri A.
2 Krivonosov, Leonid Nikolaevich
2 Kulaev, Ruslan Chermenovich
2 Luk’yanov, Vyacheslav Anatol’evich
2 Magri, Franco
2 Marciniak, Krzysztof
2 McCarthy, Alan
2 Mezincescu, Luca
2 Miyaoka, Reiko
2 Moreno, Giovanni
2 Musso, Emilio
...and 238 more Authors
all top 5

Cited in 90 Serials

59 Journal of Geometry and Physics
41 Journal of Mathematical Physics
38 Theoretical and Mathematical Physics
17 Communications in Mathematical Physics
16 Physica D
16 Journal of Nonlinear Mathematical Physics
14 Letters in Mathematical Physics
10 Functional Analysis and its Applications
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Differential Geometry and its Applications
8 Physics Letters. A
8 Journal of Mathematical Sciences (New York)
5 Journal of Mathematical Analysis and Applications
5 Reports on Mathematical Physics
5 Russian Mathematical Surveys
5 Journal of Physics A: Mathematical and Theoretical
4 Mathematical Notes
4 Nonlinearity
4 Advances in Mathematics
4 Acta Applicandae Mathematicae
4 Regular and Chaotic Dynamics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Wave Motion
3 Annales de l’Institut Fourier
3 Geometriae Dedicata
3 Journal of Nonlinear Science
3 Russian Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Proceedings of the Steklov Institute of Mathematics
2 International Journal of Theoretical Physics
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Results in Mathematics
2 Studies in Applied Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Transactions of the American Mathematical Society
2 International Journal of Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Selecta Mathematica. New Series
2 Lobachevskii Journal of Mathematics
2 Central European Journal of Mathematics
2 Advances in Mathematical Physics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Symmetry
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Archive for Rational Mechanics and Analysis
1 General Relativity and Gravitation
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. B
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Nagoya Mathematical Journal
1 Naval Research Logistics
1 Quarterly of Applied Mathematics
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Annals of Global Analysis and Geometry
1 Computer Aided Geometric Design
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Algebraic Geometry
1 Integral Transforms and Special Functions
1 Sbornik: Mathematics
1 Nonlinear Dynamics
1 Mathematical Physics, Analysis and Geometry
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of High Energy Physics
1 Annales Henri Poincaré
1 Complex Variables and Elliptic Equations
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Advances in Pure and Applied Mathematics
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Mathematics
1 European Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Bollettino dell’Unione Matematica Italiana

Citations by Year