Edit Profile Ferapontov, Evgeny Vladimirovich Compute Distance To: Compute Author ID: 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 all top 5 Serials 10 Journal of Mathematical Physics 7 Journal of Geometry and Physics 6 Theoretical and Mathematical Physics 6 Physica D 6 Journal of Physics A: Mathematical and General 5 Communications in Mathematical Physics 5 Functional Analysis and its Applications 5 Differential Geometry and its Applications 5 Journal of Physics A: Mathematical and Theoretical 4 Letters in Mathematical Physics 4 IMRN. International Mathematics Research Notices 3 Russian Mathematical Surveys 2 Classical and Quantum Gravity 2 Differential Equations 2 International Journal of Mathematics 2 Mathematics of the USSR, Sbornik 2 Journal of Nonlinear Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Reports on Mathematical Physics 1 Teoreticheskaya i Matematicheskaya Fizika 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Differential Geometry 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Soviet Journal of Computer and Systems Sciences 1 Communications in Analysis and Geometry 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Izvestiya: Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Matematicheskoe Modelirovanie 1 Ufimskiĭ Matematicheskiĭ Zhurnal all top 5 Fields 68 Dynamical systems and ergodic theory (37-XX) 66 Partial differential equations (35-XX) 38 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 1070.37047Ferapontov, E. V.; Khusnutdinova, K. R. 60 2004 Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature. Zbl 0712.35080Mokhov, O. I.; Ferapontov, E. V. 34 1990 The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042Ferapontov, E. V.; Khusnutdinova, K. R. 28 2004 Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type. Zbl 0742.58018Ferapontov, E. V. 27 1991 Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118Ferapontov, E. V.; Khusnutdinova, K. R. 23 2004 Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084Ferapontov, Eugene V.; Kruglikov, Boris S. 22 2014 On the integrability of symplectic Monge-Ampère equations. Zbl 1195.35109Doubrov, B.; Ferapontov, E. V. 22 2010 Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007Ferapontov, E. V.; Veselov, A. P. 22 2001 Nonlocal Hamiltonian operator of hydrodynamic type: Differential geometry and applications. Zbl 0845.58029Ferapontov, E. V. 19 1995 On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058Dunajski, M.; Ferapontov, E. V.; Kruglikov, B. 18 2015 On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045Ferapontov, 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 0873.35090Ferapontov, E. V.; Mokhov, O. I. 17 1996 Linearly degenerate partial differential equations and quadratic line complexes. Zbl 1310.53013Ferapontov, E. V.; Mos, J. 16 2015 Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory. Zbl 0885.58023Ferapontov, 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 0847.53001Ferapontov, E. V. 16 1995 Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems. Zbl 0872.53005Ferapontov, 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 0768.76010Ferapontov, E. V. 15 1993 Compatible Poisson brackets of hydrodynamic type. Zbl 1010.37044Ferapontov, E. V. 14 2001 Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018Ferapontov, E. V.; Fordy, A. P. 14 1997 Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems. Zbl 1061.37046Ferapontov, E. V.; Pavlov, M. V. 13 2003 Invariants of wave systems and web geometry. Zbl 0913.76008Balk, A. M.; Ferapontov, E. V. 13 1998 Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. Zbl 1145.37034Ferapontov, E. V.; Marshall, D. G. 12 2007 Laplace transformations of hydrodynamic-type systems in Riemann invariants. Zbl 0919.35132Ferapontov, E. V. 12 1997 Hamiltonian operators of Dubrovin-Novikov type in 2D. Zbl 1310.37027Ferapontov, 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 0714.35070Ferapontov, E. V. 11 1989 Second-order quasilinear PDEs and conformal structures in projective space. Zbl 1198.35104Burovskiy, P. A.; Ferapontov, E. V.; Tsarev, S. P. 10 2010 Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna 10 2010 Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V. 10 2005 Integrable systems in projective differential geometry. Zbl 0999.53010Ferapontov, E. V. 10 2000 Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability. Zbl 0930.35164Ferapontov, E. V.; Schief, W. K. 10 1999 Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061Ferapontov, E. V.; Fordy, A. P. 10 1997 Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure. Zbl 0742.35055Ferapontov, E. V.; Pavlov, M. V. 10 1991 Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space. Zbl 0741.58016Ferapontov, E. V. 10 1990 Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1228.37041Ferapontov, E. V.; Moro, A.; Sokolov, V. V. 9 2009 Hydrodynamic reductions of the heavenly equation. Zbl 1029.83022Ferapontov, 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 1149.35385Agafonov, 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 0851.58022Ferapontov, E. V. 9 1994 Reciprocal transformations and their invariants. Zbl 0713.76083Ferapontov, E. V. 9 1989 On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian 8 2011 Boyer-Finley equation and systems of hydrodynamic type. Zbl 1026.83031Ferapontov, E. V.; Korotkin, D. A.; Shramchenko, V. A. 8 2002 Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry. Zbl 0990.53008Ferapontov, E. V. 8 1999 Laplace transformations by hydrodynamic-type systems in Riemann invariants: Periodic sequences. Zbl 0924.35140Ferapontov, 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 0802.58023Ferapontov, E. V. 7 1992 Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071Ferapontov, 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 1317.37071Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M. 6 2011 Surfaces with flat normal bundle: An explicit construction. Zbl 0992.53007Ferapontov, E. V. 6 2001 Lie sphere geometry and integrable systems. Zbl 1058.53012Ferapontov, Eugene V. 6 2000 Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044Ferapontov, E. V.; Fordy, A. P. 6 1999 Integrable Lagrangians and modular forms. Zbl 1188.35161Ferapontov, 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 1149.37322Ferapontov, E.v.; Khusnutdinova, K. R. 5 2006 Integrable equations in \(2 + 1\) dimensions: deformations of dispersionless limits. Zbl 1180.35443Ferapontov, E. V.; Moro, A.; Novikov, V. S. 4 2009 Dispersive deformations of hydrodynamic reductions of \((2 + 1)\)D dispersionless integrable systems. Zbl 1160.35465Ferapontov, 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 1052.53018Ferapontov, E. V. 4 2002 On the Hamiltonian representation of the associativity equations. Zbl 0866.35095Ferapontov, E. V.; Mokhov, O. I. 4 1997 On first-order conservation laws for systems of hydrodynamic-type equations. Zbl 0934.35090Ferapontov, E. V.; Sharipov, R. A. 4 1996 Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature. Zbl 0832.53027Mokhov, 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 0802.58029Ferapontov, E. V. 4 1992 Systems of hydrodynamic type that arise in gas chromatography. Riemann invariants and exact solutions. Zbl 1189.76583Ferapontov, E. V.; Tsarëv, S. P. 4 1991 On integrability in Grassmann geometries: integrable systems associated with fourfolds in \(\mathbf{Gr}(3,5)\). Zbl 1404.37090Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S. 3 2018 On the classification of discrete Hirota-type equations in 3D. Zbl 1320.35310Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. 3 2015 On the central quadric ansatz: integrable models and Painlevé reductions. Zbl 1252.35017Ferapontov, E. V.; Huard, B.; Zhang, A. 3 2012 Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V. 3 2006 Hypersurfaces with flat centroaffine metric and equations of associativity. Zbl 1071.53006Ferapontov, E. V. 3 2004 Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems. Zbl 1067.53003Agafonov, S. I.; Ferapontov, E. V. 3 2002 Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006Ferapontov, E. V.; Grundland, A. M. 3 2000 The equations of the associativity as hydrodynamical type system: Hamiltonian representation and integrability. Zbl 0941.58502Ferapontov, E. V.; Mokhov, O. I. 3 1996 Systems of conservation laws in the context of the projective theory of congruences. Zbl 0889.35063Agafonov, S. I.; Ferapontov, E. V. 3 1996 Invariants of 4-wave interactions. Zbl 0772.73022Balk, A.; Ferapontov, E. 3 1993 Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0787.58016Ferapontov, E. V. 3 1992 Integrable systems in four dimensions associated with six-folds in \(\mathbf{Gr}(4,6)\). Zbl 1430.53007Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S. 2 2019 On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S. 2 2017 Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 2 2016 Towards the classification of integrable differential-difference equations in \(2+1\) dimensions. Zbl 1329.35263Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. 2 2013 Ordinary differential equations which linearize on differentiation. Zbl 1125.34306Ferapontov, E. V.; Svirshchevskii, S. R. 2 2007 Integrable four-component systems of conservation laws and linear congruences in \(\mathbb P ^5\). Zbl 1087.53018Agafonov, S. I.; Ferapontov, E. V. 2 2005 Invariant description of solutions of hydrodynamic-type systems in hodograph space: Hydrodynamic surfaces. Zbl 1039.53008Ferapontov, E. V. 2 2002 Theory of congruences and systems of conservation laws. Zbl 1019.35062Agafonov, S. I.; Ferapontov, E. V. 2 1999 Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117Ferapontov, E. V.; Rogers, C.; Schief, W. K. 2 1998 Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators. Zbl 0859.53005Ferapontov, E. V. 2 1995 On the Monge-Ampère equivalent of the sine-Gordon equation. Zbl 0845.35105Ferapontov, E. V.; Nutku, Y. 2 1994 Equations of hydrodynamic type from the point of view of the theory of webs. Zbl 0798.35130Ferapontov, E. V. 2 1991 Autotransformations with respect to solutions and hydrodynamic symmetry. Zbl 0796.76074Ferapontov, E. V. 2 1991 Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F. 1 2018 Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1321.37069Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M. 1 2012 Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017Bogdanov, L. V.; Ferapontov, E. V. 1 2004 Decomposition of higher-order equations of Monge–Ampère type. Zbl 1028.35047Ferapontov, E. V. 1 2002 Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator. Zbl 1035.53007Ferapontov, 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 0970.37059Ferapontov, E. V. 1 2000 A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045Bogdanov, L. V.; Ferapontov, E. V. 1 1998 Wave systems with an infinite number of invariants. Zbl 0809.35077Balk, A.; Ferapontov, E. 1 1994 Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0798.76003Ferapontov, E. V. 1 1992 Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0760.58013Ferapontov, E. V. 1 1992 Deterministic models for estimating viability and vulnerability of networks. Zbl 0698.90027Malashenko, 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 0714.53020Ferapontov, E. V. 1 1988 Integrable systems in four dimensions associated with six-folds in \(\mathbf{Gr}(4,6)\). Zbl 1430.53007Doubrov, 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 1404.37090Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S. 3 2018 Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F. 1 2018 On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S. 2 2017 Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 2 2016 On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058Dunajski, M.; Ferapontov, E. V.; Kruglikov, B. 18 2015 Linearly degenerate partial differential equations and quadratic line complexes. Zbl 1310.53013Ferapontov, E. V.; Mos, J. 16 2015 Hamiltonian operators of Dubrovin-Novikov type in 2D. Zbl 1310.37027Ferapontov, Evgeny V.; Lorenzoni, Paolo; Savoldi, Andrea 11 2015 On the classification of discrete Hirota-type equations in 3D. Zbl 1320.35310Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. 3 2015 Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084Ferapontov, Eugene V.; Kruglikov, Boris S. 22 2014 Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 6 2014 Towards the classification of integrable differential-difference equations in \(2+1\) dimensions. Zbl 1329.35263Ferapontov, E. V.; Novikov, V. S.; Roustemoglou, I. 2 2013 On the central quadric ansatz: integrable models and Painlevé reductions. Zbl 1252.35017Ferapontov, E. V.; Huard, B.; Zhang, A. 3 2012 Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1321.37069Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M. 1 2012 On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian 8 2011 Classification of integrable two-component Hamiltonian systems of hydrodynamic type in \(2 + 1\) dimensions. Zbl 1317.37071Ferapontov, E. V.; Odesskii, A. V.; Stoilov, N. M. 6 2011 On the integrability of symplectic Monge-Ampère equations. Zbl 1195.35109Doubrov, B.; Ferapontov, E. V. 22 2010 Second-order quasilinear PDEs and conformal structures in projective space. Zbl 1198.35104Burovskiy, P. A.; Ferapontov, E. V.; Tsarev, S. P. 10 2010 Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna 10 2010 Integrable Lagrangians and modular forms. Zbl 1188.35161Ferapontov, E. V.; Odesskii, A. V. 5 2010 Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. Zbl 1228.37041Ferapontov, E. V.; Moro, A.; Sokolov, V. V. 9 2009 Integrable equations in \(2 + 1\) dimensions: deformations of dispersionless limits. Zbl 1180.35443Ferapontov, E. V.; Moro, A.; Novikov, V. S. 4 2009 Dispersive deformations of hydrodynamic reductions of \((2 + 1)\)D dispersionless integrable systems. Zbl 1160.35465Ferapontov, E. V.; Moro, A. 4 2009 Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. Zbl 1145.37034Ferapontov, E. V.; Marshall, D. G. 12 2007 Ordinary differential equations which linearize on differentiation. Zbl 1125.34306Ferapontov, E. V.; Svirshchevskii, S. R. 2 2007 On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045Ferapontov, 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 1149.37322Ferapontov, E.v.; Khusnutdinova, K. R. 5 2006 Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V. 3 2006 Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072Ferapontov, 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 1087.53018Agafonov, S. I.; Ferapontov, E. V. 2 2005 On the integrability of \((2+1)\)-dimensional quasilinear systems. Zbl 1070.37047Ferapontov, E. V.; Khusnutdinova, K. R. 60 2004 The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042Ferapontov, E. V.; Khusnutdinova, K. R. 28 2004 Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118Ferapontov, E. V.; Khusnutdinova, K. R. 23 2004 Hypersurfaces with flat centroaffine metric and equations of associativity. Zbl 1071.53006Ferapontov, E. V. 3 2004 Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017Bogdanov, L. V.; Ferapontov, E. V. 1 2004 Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems. Zbl 1061.37046Ferapontov, E. V.; Pavlov, M. V. 13 2003 Hydrodynamic reductions of the heavenly equation. Zbl 1029.83022Ferapontov, E. V.; Pavlov, M. V. 9 2003 Boyer-Finley equation and systems of hydrodynamic type. Zbl 1026.83031Ferapontov, 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 1052.53018Ferapontov, E. V. 4 2002 Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems. Zbl 1067.53003Agafonov, S. I.; Ferapontov, E. V. 3 2002 Invariant description of solutions of hydrodynamic-type systems in hodograph space: Hydrodynamic surfaces. Zbl 1039.53008Ferapontov, E. V. 2 2002 Decomposition of higher-order equations of Monge–Ampère type. Zbl 1028.35047Ferapontov, E. V. 1 2002 Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator. Zbl 1035.53007Ferapontov, E. V. 1 2002 Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007Ferapontov, E. V.; Veselov, A. P. 22 2001 Compatible Poisson brackets of hydrodynamic type. Zbl 1010.37044Ferapontov, E. V. 14 2001 Systems of conservation laws of Temple class, equations of associativity and linear congruences in \(\mathbb P^4\). Zbl 1149.35385Agafonov, S. I.; Ferapontov, E. V. 9 2001 Surfaces with flat normal bundle: An explicit construction. Zbl 0992.53007Ferapontov, E. V. 6 2001 Integrable systems in projective differential geometry. Zbl 0999.53010Ferapontov, E. V. 10 2000 Lie sphere geometry and integrable systems. Zbl 1058.53012Ferapontov, Eugene V. 6 2000 Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006Ferapontov, 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 0970.37059Ferapontov, E. V. 1 2000 Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability. Zbl 0930.35164Ferapontov, E. V.; Schief, W. K. 10 1999 Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry. Zbl 0990.53008Ferapontov, E. V. 8 1999 Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044Ferapontov, E. V.; Fordy, A. P. 6 1999 Theory of congruences and systems of conservation laws. Zbl 1019.35062Agafonov, S. I.; Ferapontov, E. V. 2 1999 Invariants of wave systems and web geometry. Zbl 0913.76008Balk, A. M.; Ferapontov, E. V. 13 1998 Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117Ferapontov, E. V.; Rogers, C.; Schief, W. K. 2 1998 A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045Bogdanov, L. V.; Ferapontov, E. V. 1 1998 Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory. Zbl 0885.58023Ferapontov, E. V.; Galvão, C. A. P.; Mokhov, O. I.; Nutku, Y. 16 1997 Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018Ferapontov, E. V.; Fordy, A. P. 14 1997 Laplace transformations of hydrodynamic-type systems in Riemann invariants. Zbl 0919.35132Ferapontov, E. V. 12 1997 Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061Ferapontov, E. V.; Fordy, A. P. 10 1997 Laplace transformations by hydrodynamic-type systems in Riemann invariants: Periodic sequences. Zbl 0924.35140Ferapontov, E. V. 7 1997 On the Hamiltonian representation of the associativity equations. Zbl 0866.35095Ferapontov, 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 0873.35090Ferapontov, E. V.; Mokhov, O. I. 17 1996 On first-order conservation laws for systems of hydrodynamic-type equations. Zbl 0934.35090Ferapontov, E. V.; Sharipov, R. A. 4 1996 The equations of the associativity as hydrodynamical type system: Hamiltonian representation and integrability. Zbl 0941.58502Ferapontov, E. V.; Mokhov, O. I. 3 1996 Systems of conservation laws in the context of the projective theory of congruences. Zbl 0889.35063Agafonov, S. I.; Ferapontov, E. V. 3 1996 Nonlocal Hamiltonian operator of hydrodynamic type: Differential geometry and applications. Zbl 0845.58029Ferapontov, E. V. 19 1995 Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants. Zbl 0847.53001Ferapontov, E. V. 16 1995 Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems. Zbl 0872.53005Ferapontov, E. V. 15 1995 Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators. Zbl 0859.53005Ferapontov, 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 0851.58022Ferapontov, E. V. 9 1994 Hamiltonian pairs associated with skew-symmetric Killing tensors on spaces of constant curvature. Zbl 0832.53027Mokhov, O. I.; Ferapontov, E. V. 4 1994 On the Monge-Ampère equivalent of the sine-Gordon equation. Zbl 0845.35105Ferapontov, E. V.; Nutku, Y. 2 1994 Wave systems with an infinite number of invariants. Zbl 0809.35077Balk, 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 0768.76010Ferapontov, E. V. 15 1993 Invariants of 4-wave interactions. Zbl 0772.73022Balk, 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 0802.58023Ferapontov, E. V. 7 1992 Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0802.58029Ferapontov, E. V. 4 1992 Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0787.58016Ferapontov, E. V. 3 1992 Integration of weakly nonlinear semi-Hamiltonian systems of hydrodynamic type by methods of the theory of webs. Zbl 0798.76003Ferapontov, E. V. 1 1992 Nonlocal matrix Hamiltonian operators, differential geometry, and applications. Zbl 0760.58013Ferapontov, E. V. 1 1992 Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type. Zbl 0742.58018Ferapontov, E. V. 27 1991 Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure. Zbl 0742.35055Ferapontov, E. V.; Pavlov, M. V. 10 1991 Systems of hydrodynamic type that arise in gas chromatography. Riemann invariants and exact solutions. Zbl 1189.76583Ferapontov, E. V.; Tsarëv, S. P. 4 1991 Equations of hydrodynamic type from the point of view of the theory of webs. Zbl 0798.35130Ferapontov, E. V. 2 1991 Autotransformations with respect to solutions and hydrodynamic symmetry. Zbl 0796.76074Ferapontov, E. V. 2 1991 Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature. Zbl 0712.35080Mokhov, O. I.; Ferapontov, E. V. 34 1990 Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space. Zbl 0741.58016Ferapontov, E. V. 10 1990 Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solution. Zbl 0714.35070Ferapontov, E. V. 11 1989 Reciprocal transformations and their invariants. Zbl 0713.76083Ferapontov, E. V. 9 1989 Deterministic models for estimating viability and vulnerability of networks. Zbl 0698.90027Malashenko, 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 0714.53020Ferapontov, E. V. 1 1988 all cited Publications top 5 cited Publications 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 all top 5 Cited in 36 Fields 227 Dynamical systems and ergodic theory (37-XX) 184 Partial differential equations (35-XX) 108 Differential geometry (53-XX) 40 Global analysis, analysis on manifolds (58-XX) 33 Quantum theory (81-XX) 29 Mechanics of particles and systems (70-XX) 22 Fluid mechanics (76-XX) 20 Nonassociative rings and algebras (17-XX) 15 Ordinary differential equations (34-XX) 14 Relativity and gravitational theory (83-XX) 11 Algebraic geometry (14-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Difference and functional equations (39-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 3 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year