Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications


Publications for Evgeny Ferapontov

From (year): To (year):

Download all publications as Word document


Journal Articles

Ferapontov, E, Novikov, V, Roustemoglou, I (2024) Higher-order reductions of the Mikhalev system, Letters in Mathematical Physics, ISSN: 0377-9017.

Vergallo, P and Ferapontov, E (2023) Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas, Journal of Mathematical Physics, 64(10), 103505, ISSN: 0022-2488. DOI: 10.1063/5.0142689.

Manivel, L and Ferapontov, EV (2023) Erratum to: On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws (manuscripta mathematica, (2023), 172, 1-2, (599-620), 10.1007/s00229-022-01425-8), Manuscripta Mathematica, 172(1-2), p.621, ISSN: 0025-2611. DOI: 10.1007/s00229-022-01437-4.

Opanasenko, S and Ferapontov, E (2022) Linearizable Abel equations and the Gurevich–Pitaevskii problem, Studies in Applied Mathematics, 150(3), pp.607-628, ISSN: 0022-2526. DOI: 10.1111/sapm.12552.

Manivel, L and Ferapontov, E (2022) On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws, manuscripta mathematica, 172(1-2), pp.599-620, ISSN: 0025-2611. DOI: 10.1007/s00229-022-01425-8.

Gormley, B, Ferapontov, E, Novikov, V, Pavlov, M (2022) Integrable systems of the intermediate long wave type in 2+1 dimensions, Physica D: Nonlinear Phenomena, 435, 133310, ISSN: 0167-2789. DOI: 10.1016/j.physd.2022.133310.

Ferapontov, E and Pavlov, MV (2022) Kinetic equation for soliton gas: integrable reductions, Journal of Nonlinear Science, 32(2), 26, ISSN: 0938-8974. DOI: 10.1007/s00332-022-09782-0.

Berjawi, S, Ferapontov, E, Kruglikov, B, Novikov, V (2021) Second-order PDEs in 3D with Einstein-Weyl conformal structure, Annales Henri Poincaré, 23(7), pp.2579-2609, ISSN: 1424-0637. DOI: 10.1007/s00023-021-01140-2.

Gormley, B, Ferapontov, E, Novikov, V (2021) On a class of integrable Hamiltonian equations in 2+1 dimensions, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2249), 20210047, ISSN: 1364-5021. DOI: 10.1098/rspa.2021.0047.

Ferapontov, E, Pavlov, M, Xue, L (2021) Second-order integrable Lagrangians and WDVV equations, Letters in Mathematical Physics, 111(2), 58, ISSN: 0377-9017. DOI: 10.1007/s11005-021-01403-3.

Ferapontov, E, Habibullin, I, Kuznetsova, M, Novikov, V (2020) On a class of 2D integrable lattice equations, Journal of Mathematical Physics, 61(7), 073505, ISSN: 0022-2488. DOI: 10.1063/5.0013697.

Xue, L and Ferapontov, E (2020) Quasilinear systems of Jordan block type and the mKP hierarchy, Journal of Physics A: Mathematical and Theoretical, 53(20), 205202, ISSN: 1751-8113. DOI: 10.1088/1751-8121/ab859a.

Ferapontov, E, Kruglikov, B, Novikov, V (2020) Integrability of dispersionless Hirota-type equations and the symplectic Monge-Ampère property, International Mathematics Research Notices, 2021(18), pp.14220-14251, ISSN: 1073-7928. DOI: 10.1093/imrn/rnaa025.

Berjawi, S, Ferapontov, E, Kruglikov, B, Novikov, V (2020) Second-order PDEs in four dimensions with half-flat conformal structure, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2233), 20190642, ISSN: 1364-5021. DOI: 10.1098/rspa.2019.0642.

Ferapontov, E and Kruglikov, B (2019) Dispersionless integrable hierarchies and GL(2, R) geometry, Mathematical Proceedings of the Cambridge Philosophical Society, 170(1), pp.129-154, ISSN: 0305-0041. DOI: 10.1017/S0305004119000355.

Clery, F and Ferapontov, E (2019) Dispersionless Hirota equations and the genus 3 hyperelliptic divisor, Communications in Mathematical Physics, 376(2), pp.1397-1412, ISSN: 0010-3616. DOI: 10.1007/s00220-019-03549-7.

Casati, M, Ferapontov, E, Pavlov, MV, Vitolo, RF (2018) On a class of third-order nonlocal Hamiltonian operators, Journal of Geometry and Physics, ISSN: 0393-0440. DOI: 10.1016/j.geomphys.2018.10.018.

Ferapontov, E, Pavlov, MV, Vitolo, RF (2018) Systems of conservation laws with third-order Hamiltonian structures, Letters in Mathematical Physics, ISSN: 0377-9017. DOI: 10.1007/s11005-018-1054-3.

Doubrov, B, Ferapontov, E, Kruglikov, B, Novikov, V (2018) On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3, 5), Proceedings of the London Mathematical Society, 116(5), pp.1269-1300, ISSN: 0024-6115. DOI: 10.1112/plms.12114.

Doubrov, B, Ferapontov, E, Kruglikov, B, Novikov, V (2018) Integrable systems in four dimensions associated with six-folds in Gr(4, 6), International Mathematics Research Notices, 2019(21), ISSN: 1073-7928.

Doubrov, B, Ferapontov, E, Kruglikov, B, Novikov, V (2017) On a class of integrable systems of Monge-Ampere type, Journal of Mathematical Physics, ISSN: 0022-2488. DOI: 10.1063/1.4984982.

Agafonov, SI, Ferapontov, E, Novikov, V (2017) Quasilinear systems with linearizable characteristic webs, Journal of Mathematical Physics, 58, ISSN: 0022-2488. DOI: 10.1063/1.4994198.

Ferapontov, EV, Pavlov, MV, Vitolo, R (2016) Towards the classification of homogeneous third-order Hamiltonian operators, International Mathematics Research Notices, DOI: 10.1093/imrn/rnv369.

Dunajski, M, Ferapontov, E, Kruglikov, B (2015) On the Einstein-Weyl and conformal self-duality equations, JOURNAL OF MATHEMATICAL PHYSICS, 56(8), DOI: 10.1063/1.4927251.

Ferapontov, EV, Novikov, VS, Roustemoglou, I (2015) On the classification of discrete Hirota-type equations in 3D, International Mathematics Research Notices, 2015(13), pp.4933-4974, ISSN: 1073-7928. DOI: 10.1093/imrn/rnu086.

Ferapontov, E and Moss, J (2015) Linearly degenerate PDEs and quadratic line complexes, Communications in Analysis and Geometry, ISSN: 1944-9992. DOI: 10.4310/CAG.2015.v23.n1.a3.

Ferapontov, E, Lorenzoni, P, Savoldi, A (2015) Hamiltonian operators of Dubrovin-Novikov type in 2D, Letters in Mathematical Physics, ISSN: 1573-0530. DOI: 10.1007/s11005-014-0738-6.

Ferapontov, EV, Pavlov, MV, Vitolo, RF (2014) Projective-geometric aspects of homogeneous third-order Hamiltonian operators, Journal of Geometry and Physics, 85, pp.16-28, ISSN: 0393-0440. DOI: 10.1016/j.geomphys.2014.05.027.

Ferapontov, E and Kruglikov, B (2014) Dispersionless integrable systems in 3D and Einstein-Weyl geometry, Journal of Differential Geometry, 97(2), pp.215-254, ISSN: 0022-040X. DOI: 10.4310/jdg/1405447805.

Ferapontov, EV and Moss, J (2014) Characteristic integrals in 3D and linear degeneracy, Journal of Nonlinear Mathematical Physics, 21(2), pp.214-224, ISSN: 1402-9251. DOI: 10.1080/14029251.2014.900993.

Ferapontov, E, Novikov, V, Roustemoglou, I (2013) Towards the classification of integrable differential-difference equations in 2 + 1 dimensions, Journal of Physics A: Math.Theor, ISSN: 1751-8113. DOI: 10.1088/1751-8113/46/24/245207.

Ferapontov, EV, Novikov, VS, Stoilov, NM (2012) Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions, Physica D: Nonlinear Phenomena, 241(23-24), pp.2138-2144, ISSN: 0167-2789. DOI: 10.1016/j.physd.2011.12.004.

Ferapontov, EV, Huard, B, Zhang, A (2012) On the central quadric ansatz: Integrable models and Painlevé reductions, Journal of Physics A: Mathematical and Theoretical, 45(19), ISSN: 1751-8113. DOI: 10.1088/1751-8113/45/19/195204.

Novikov, VS and Ferapontov, EV (2011) On the classification of scalar evolutionary integrable equations in 2 + 1 dimensions, Journal of Mathematical Physics, 52, Art.No. 023516.

Ferapontov, EV, Khusnutdinova, KR, Klein, C (2011) On linear degeneracy of integrable quasilinear systems in higher dimensions, Lett. Math. Phys, 96, pp.5-35.

Ferapontov, EV, Novikov, VS, Stoilov, NM (2011) Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions, Physica D: Nonlinear Phenomena, ISSN: 0167-2789.

Ferapontov, EV, Hadjikos, L, Khusnutdinova, KR (2010) Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian, Int. Math. Res. Not, pp.496-535, DOI: 10.1093/imrn/rnp134.

Burovskii, PA, Ferapontov, EV, Tsarev, SP (2010) Second order quasilinear PDEs and conformal structures in projective space, International J. Math, 21(6), pp.1-4.

Doubrov, B and Ferapontov, EV (2010) On the integrability of sympletic Monge-Ampere equations, Journal of Geometry and Physics, 60, pp.1604-1616.

Ferapontov, EV, Odesskii, AV, Stoilov, NM (2010) Classification of integrable two-component Hamilonian systems of hydrodynamic type in 2+1 dimensions, submitted.

Ferapontov, EV and Odesskii, AV (2010) Integrable Lagrangians and modular forms, Journal of Geometry and Physics, 60(6-8), pp.896-906.

Cieśliński, JL, Ferapontov, EV, Kitaev, AV, Nimmo, JJC (2009) Preface: Nonlinearity and geometry: Connections with integrability, Journal of Physics A: Mathematical and Theoretical, 42(40), ISSN: 1751-8113. DOI: 10.1088/1751-8121/42/40/400301.

Cieslinski, JL, Ferapontov, EV, Kitaev, AV, Nimmo, JJC (2009) Nonlinearity and Geometry: connections with integrability PREFACE, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42(40), ARTN 400301, ISSN: 1751-8113. DOI: 10.1088/1751-8113/42/40/400301.

Ferapontov, EV, Moro, A, Novikov, V (2009) Integrable equations in 2+1 dimensions: deformation of dispersionless limits, J. Phys. A: Math. Theor.,, 42, Art.No. 342005.

Ferapontov, EV, Moro, A, Sokolov, VV (2009) Hamiltonian systems of hydrodynamic type in 2+1 dimensions, Comm. Math. Phys, 285(1), pp.31-65.

Ferapontov, EV and Moro, A (2009) Dispersive deformations of hydrodynamic reductions of 2D dispersionless integrable systems, J. Phys. A:Math. Theor, 42, Art.No. 035211.

Ferapontov, EV and Marshall, DG (2007) Differential-Geometric Approach to the Integrability of Hydrodynamic Chains: The Haantjes Tensor, Mathematische Annalen, 339(1), pp.61-99, DOI: 10.1007/s00208-007-0106-2.

Ferapontov, EV and Svirschevskii, SR (2007) Ordinary differential equations which linearize on differentiation, J. Phys. A:Math. Theor, 40, pp.2037-2043.

Ferapontov, EV and Khusnutdinova, KR (2006) The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2068), pp.1197-1219, ISSN: 1471-2946. DOI: 10.1098/rspa.2005.1627.

Ferapontov, EV, Khusnutdinova, KR, Tsarev, SP (2006) On a class of three-dimensional integrable Lagrangians, Communications in Mathematical Physics, 261(1), pp.225-243, ISSN: 1432-0916. DOI: 10.1007/s00220-005-1415-5.

Ferapontov, EV, Khusnutdinova, KR, Marshall, DG, Pavlov, MV (2006) Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt brackets, Journal of Mathematical Physics, 47(10), Art.No.103507.

Ferapontov, EV, Khusnutdinova, KR, Pavlov, MV (2005) Classification of integrable (2+1)-dimensional quasilinear hierarchies, Theoretical and Mathematical Physics, 144(1), pp.35-43, ISSN: 1573-9333.

Agafonov, SI and Ferapontov, EV (2005) Integrable four-component systems of conservation laws and linear congrueces in P^5, Glasgow Math. J. 47A, pp.17-32.

Ferapontov, EV and Khusnutdinova, KR (2004) On the integrability of (2+1)-dimensional quasilinear systems, Communications in Mathematical Physics, 248(1), pp.187-206, ISSN: 1432-0916. DOI: 10.1007/s00220-004-1079-6.

Ferapontov, EV (2004) Hypersurfaces with flat centroaffine metric and equations of associativity, Geometriae Dedicata, 103, pp.33-49, ISSN: 0046-5755.

Ferapontov, EV and Khusnutdinova, KR (2004) The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type, Journal of Physics A: Mathematical and General, 37(8), pp.2949-2963, ISSN: 1361-6447. DOI: 10.1088/0305-4470/37/8/007.

Ferapontov, EV and Khusnutdinova, KR (2004) Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability, Journal of Mathematical Physics, 45(6), pp.2365-2377, ISSN: 0022-2488.

Bogdanov, LV and Ferapontov, EV (2004) Projective diffential geometry of higher reductions of the two-dimensional Dirac equation, Journal of Geom Phys, 52, pp.328-352, ISSN: 0393-0440.

Ferapontov, EV and Pavlov, MV (2003) Reciprocal transformations of Hamiltonian operators of hydrodynamic type: non-local Hamiltonian formalism for linearly degenerate systems, Journal of Mathematic Physics, 44(3), pp.1150-1172, ISSN: 0022-2488.

Ferapontov, EV and Pavlov, MV (2003) Hydrodynamic reductions of the heavenly equation, Classical Quantum Gravity, 20, pp.2429-2441, ISSN: 0264-9381.

Ferapontov, EV (2002) Invariant Description of Solutions of Hydrodynamic Type Systems in Hodograph Space: Hydrodynamic Surfaces, Journal of Physics A: Mathematical and General, 35, pp.6883-6892, ISSN: 0305-4470.

Ferapontov, EV (2002) Analog of Wilczynski's Projective Frame in Lie Sphere Geometry: Lie-Apllicable Surfaces and Commuting Schrodinger Operators with Magnetic Fields, International Journal of Mathematics, 17, pp.959-985.

Agafonov, SI and Ferapontov, EV (2002) Systems of Conservation Laws in the Setting of the Projective Theory of Congruences: Reducible and Linearly Degenerate Systems, Differential Geometry and its Applications, 17, pp.153-173, ISSN: 0926-2245.

Ferapontov, EV, Korotkin, DA, Shramchenko, VA (2002) Boyer-Finley equation and systems of hydrodynamic type, Classical Quantum Gravity, 16, pp.L205-L210, ISSN: 0264-9381.

Ferapontov, EV (2002) Decomposition of higher order equations of Mong-Ampere type, Letters in Mathematical Physics, 62(62), pp.193-198.

Agafonov, SI and Ferapontov, EV (2001) Systems of Conservation Laws of Temple Class, Equations of Associativity and Linear Congruences in p4, Manuscripta Mathematica, 106(4), pp.461-488, ISSN: 1432-1785. DOI: 10.1007/s229-001-8028-y.

Ferapontov, EV (2001) Compatible Poisson Brackets of Hydrodynamic Type, Journal of Physics A: Mathematical and General, 34, pp.1-12, ISSN: 0305-4470.

Ferapontov, EV (2001) Surfaces with Flat Normal Bundle: An Explicit Construction, Differential Geometry Applications, 14, pp.15-37, ISSN: 0926-2245.

Ferapontov, EV and Veselov, AP (2001) Integrable Schroedinger operators with magnetic fields: factorization method on curved surfaces, Journal of Mathematical Physics, 42(2), pp.590-607, ISSN: 0022-2488.

Ferapontov, EV and Grundland, AM (2000) Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces, Journal of Nonlinear Mathematical Physics, 7, pp.1-8.

Ferapontov, EV (2000) Integrable Systems in Projective Differential Geometry, Kyushu Journal of Mathematics, 54, pp.1-34.

Ferapontov, EV (2000) Lie Sphere Geometry and Integrable Systems, Tohoku Mathematical Journal, 52, pp.199-233.

Ferapontov, EV (2000) Systems of Conservation Laws within the Framework of the Projective Theory of Congruences: the Levy transformations of semi-Hamiltonian Systems, Journal of Physics A: Mathematical and General, 33, pp.1-8.

Ferapontov, EV (2000) Systems of conservation laws within the framework of the projective theory of congruences: the Levy transformations of semi-Hamiltonian systems, J. Phys. A:Math. Gen, 33, pp.6935-6952i.

Ferapontov, EV and Fordy, AP (1999) Commuting quadratic Hamiltonians with velocity dependent potentials, REPORTS ON MATHEMATICAL PHYSICS, 44(1-2), pp.71-80, ISSN: 0034-4877. DOI: 10.1016/S0034-4877(99)80146-3.

Ferapontov, EV and Schief, WK (1999) Surfaces of Demoulin: Differential Geometry, B̈acklund Transformation and Integrability, Journal of Geometry and Physics, 30, pp.343-363, ISSN: 0393-0440.

Ferapontov, EV (1999) Stationary Veselov-Novikov Equation and Isothermally Asymptotic Surfaces in Projective Differential Geometry, Differential Geometry and its Applications, 11, pp.117-128, ISSN: 0926-2245.

Agafonov, SI and Ferapontov, EV (1999) Theory of Congruences and Systems of Conservation Laws, Journal of Mathematical Sciences, 94(5), pp.1748-1792.

Ferapontov, EV and Balk, AM (1998) Invariants of Wave Systems and Web Geometry, Journal of Nonlinear Waves and Weak Turbulence, American Mathematical Society Translations ser. 2, AMS, Providence, RI, Zakharov, V.E. (ed), 182, pp.1-30.

Bogdanov, LV and Ferapontov, EV (1998) A Nonlocal Hamiltonian Formalism for Semi-Hamiltonian Systems of Hydrodynamic Type, Journal of Theoretical and Mathematical Physics, 116(1), pp.829-835.

Ferapontov, EV, Rogers, C, Schief, WK (1998) Reciprocal Transformations of Two-Component Hyperbolic Systems and their Invariants, Journal of Mathematical Analysis and Applications, 228, pp.365-376.

Ferapontov, EV (1997) Laplace Transformations of Hydrodynamic Type Systems in Riemann Invariants, Journal of Theoretical and Mathematical Physics, 110, pp.86-97.

Ferapontov, EV and Fordy, AP (1997) Separable Hamiltonians and Integrable Systems of Hydrodynamic Type, Journal of Geometry and Physics, 21, pp.169-182.

Ferapontov, EV and Fordy, AP (1997) Nonhomogeneous Systems of Hydrodynamic Type Related to Quadratic Hamiltonians with Electromagnetic Term, Physica D, 108, pp.350-364.

Ferapontov, EV (1997) Laplace Transformations of Hydrodynamic Type Systems in Riemann Invariants: Periodic Sequences, Journal of Physics A: Mathematical and General, 30, pp.6861-6878, ISSN: 0305-4470.

Ferapontov, EV, Galvao, CAP, Mokhov, OI (1997) Bi-Hamiltonian Structure of Equations of Associativity in 2-d Topological Field Theory, Communications in Mathematical Physics, 186, pp.649-669, ISSN: 0010-3616.

Ferapontov, EV and Sharipov, RA (1996) On first-order conservation laws for systems of hydrodynamic-type equations, THEORETICAL AND MATHEMATICAL PHYSICS, 108(1), pp.937-952, ISSN: 0040-5779. DOI: 10.1007/BF02070520.

Ferapontov, EV and Mokhov, OI (1996) The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type, FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 30(3), pp.195-203, ISSN: 0016-2663. DOI: 10.1007/BF02509506.

Ferapontov, EV and Mokhov, OI (1996) Equations of Associativity of Two-Dimensional Topological Field Theory as Integrable Hamiltonian Nondiagonalisable Systems of Hydrodynamic Type, Journal of Functional Analysis and its Applications, 30(3), pp.62-72.

Ferapontov, EV and Sharipov, RA (1996) On the First Order Conservation Laws of Hydrodynamic Type Systems, Journal of Theoretical and Mathematical Physics, 108(1), pp.109-128.

Agafonov, SI and Ferapontov, EV (1996) Systems of Conservation Laws from the Point of View of Projective Theory of Congruences, Izvestiya RAN, seriya Matematicheskaya, 60(6), pp.3-30.

Ferapontov, EV (1995) Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators, RUSSIAN MATHEMATICAL SURVEYS, 50(4), pp.811-813, ISSN: 0036-0279. DOI: 10.1070/RM1995v050n04ABEH002582.

Ferapontov, EV (1995) Nonlocal Hamiltonian Operators of Hydrodynamic Type: Differential Geometry and Applications, American Mathematical Society Translations, 170, pp.33-58.

Ferapontov, EV (1995) Dupin Hypersurfaces and Integrable Hamiltonian Systems of Hydrodynamic Type, Which Do Not Possess Riemann Invariants, Journal of Differential Geometry and its Applications, 5, pp.121-152.

Ferapontov, EV (1995) Isoparametric Hypersurfaces in Spheres, Integrable Nondiagonalizable Systems of Hydrodynamic Type, and N-wave Systems, Journal of Differential Geometry and its Applications, 5, pp.335-369.

Ferapontov, EV (1995) Conformally Flat Metrics, Systems of Hydrodynamic Type and Nonlocal Hamiltonian Operators, Uspekhi Matematicheskikh Nauk, 4, pp.175-176.

Balk, AM and Ferapontov, EV (1994) Wave Systems with an Infinite Number of Invariants, Physica D, 70, pp.100-114.

Mokhov, OI and Ferapontov, EV (1994) Hamiltonian Pairs Associated With Skew-Symmetric Killing Tensors on the Spaces of Constant Curvature, Journal of Functional Analysis and its Applications, 28(2), pp.60-63.

Ferapontov, EV and Nutku, Y (1994) On the Monge-Ampere Equivalent of the Sine-Gordon Equation, Journal of Physics A: Mathematical and General, 27, pp.7831-7834.

Ferapontov, EV (1994) Several Conjectures and Results in the Theory of Integrable Hamiltonian Systems of Hydrodynamic Type, which do not Possess Riemann Invariants, Journal of Theoretical and Mathematical Physics, 99(2), pp.257-262.

Ferapontov, EV (1993) On integrability of 3 x 3 Semi-Hamiltonian Systems of Hydrodynamic Type Which Do Not Possess Riemann Invariants, Physica D, 63, pp.50-70.

Ferapontov, EV (1993) On the Matrix Hopf Equation and Integrable Hamiltonian Systems of Hydrodynamic Type Which Do Not Possess Riemann Invariants, Physics Letters A, 179, pp.391-397.

Balk, AM and Ferapontov, EV (1993) Invariants of 4-Wave Interactions, Physica D, 65, pp.274-288.

Ferapontov, EV (1992) Dirac Reduction of the Hamiltonian Operator δ^{ij} d/dx to a Submanifold of the Euclidean Space with Flat Normal Connection, Functional Analysis and its Applications, 26(4), pp.83-86.

Ferapontov, EV (1992) Nonlocal Matrix Hamiltonian Operators. Differential Geometry and Applications, Journal of Theoretical and Mathematical Physics, 91(3), pp.452-462.

FERAPONTOV, EV (1991) AUTOTRANSFORMATIONS WITH RESPECT TO SOLUTIONS AND HYDRODYNAMIC SYMMETRY, DIFFERENTIAL EQUATIONS, 27(7), pp.885-895, ISSN: 0012-2661.

Ferapontov, EV (1991) Reciprocal Autotransformations and Hydrodynamic Symmetries, Differential Equations, 27(7), pp.885-895.

Ferapontov, EV (1991) Hamiltonian Systems of Hydrodynamic Type and their Realization on Hypersurfaces of a Pseudoeuclidean Space, Soviet Journal of Mathematics, 55, pp.1970-1995.

Ferapontov, EV (1991) Differential Geometry of Nonlocal Hamiltonian Operators of Hydrodynamic Type, Functional Analysis and its Applications, 25(3), pp.37-49.

Ferapontov, EV and Pavlov, MV (1991) Quasiclassical Limit of Coupled KdV Equations. Riemann Invariants and Multi-Hamiltonian Structure, Physica D, 52, pp.211-219.

Ferapontov, EV (1991) Integration of Weakly Nonlinear Hydrodynamic Systems in Riemann Invariants, Physics Letters A, 158, pp.112-118.

Ferapontov, EV (1991) Equations of Hydrodynamic Type from the Point of View of the Theory of Webs, Matematicheskie Zametki, 50(5), pp.97-108.

Ferapontov, EV and Tsarev, SP (1991) Systems of Hydrodynamic Type, Arising in Gas Chromatography. Riemann Invariants and Exact Solutions, Mathematical Modelling, 3(2), pp.82-91.

Ferapontov, EV (1990) Integration of Weakly Nonlinear Semi-Hamiltonian Systems of Hydrodynamic Type by Methods of the Theory of Webs, Matematicheskii Sbornik, 181(9), pp.1220-1235.

Mokhov, OI and Ferapontov, EV (1990) Nonlocal Hamiltonian Operators of Hydrodynamic Type Associated with Constant Curvature Metrics, Uspekhi Matematicheskikh Nauk, 45(3), pp.191-192.

FERAPONTOV, EV (1989) SYSTEMS OF 3 DIFFERENTIAL-EQUATIONS OF HYDRODYNAMIC TYPE WITH HEXAGONAL 3-WEB OF CHARACTERISTICS ON THE SOLUTIONS, FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 23(2), pp.151-153, ISSN: 0016-2663. DOI: 10.1007/BF01078793.

Ferapontov, EV (1989) Systems of Three Differential Equations of Hydrodynamic Type with Hexagonal 3-Web of Characteristics on the Solutions, Journal of Functional Analysis and its Applications, 23(2), pp.79-80.

Ferapontov, EV (1989) Reciprocal Transformations and Their Invariants, Differential Equations, 25(7), pp.898-905.

FERAPONTOV, EV (1987) REDUCTIONS OF SOME SYSTEMS OF DIFFERENTIAL-EQUATIONS, DETERMINED BY THEIR SYMMETRIES, VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, (1), pp.63-65, ISSN: 0579-9368.



Conferences

Ferapontov, EV (2002) Surfaces in 3-space processing nontrivial deformations which preserve the shape operator, "Differential Geometry and Integrable Systems". In AMS (Proceedings of the 9th MSJ-IRI), Contemporary Mathematics, Tokyo.

Ferapontov, EV (2000) Surfaces with flat normal bundle in a hypersphere. In Boiti, M, Martina, L, Pempinelli, F, Prinari, B, Soliani, G (ed) Workshop on Nonlinearity, Integrability and all that - 20 Years after NEEDS 79, PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, GALLIPOLI, ITALY, pp.124-131, ISBN: 981-02-4147-X.

Ferapontov, EV (1999) Differential Geometry and Applications. In Surfaces in Projective Differential Geometry and Integrable Systems, Proceedings of the Satellite Conference of ICM in Berlin, Masaryk University, Brno, Czech Republic, pp.171-184.

Ferapontov, EV and Fordy, AP (1999) Commuting quadratic Hamiltonians with velocity-dependent potentials. In , Rep. Math. Phys, pp.71-80.

Ferapontov, EV and Mokhov, OI (1996) On the Hamiltonian Representation of the Associativity Equations. In Fokas, AS and Gelfand, IME (ed) Proceedings of the Conference on Algebraic Aspects of Integrable Systems held In Memory of Irene Dorfman, USA, pp.75-91.

Ferapontov, EV and Mokhov, OI (1995) The Equations of Associativity as Hydrodynamic Type Systems: Hamiltonian Representation and the Integrability. In Proceedings of the Workshop on Nonlinear Physics: Theory and Experiment, Italy, pp.104-115.



Chapters

Ferapontov, EV (1994) Hydrodynamic-Type Systems (Chapter 14). In Ibragimov, NKE (ed) Handbook "Lie Group Analysis of Differential Equations", CRC Press, pp.303-330.

Ferapontov, EV (1992) Geometry and Algebra of Multidimensional 3-webs. In Kluwer Acad, (ed) Web Geometry and Mathematical Physics, Appendix to the book of M.A. Akivis and A.M. Shelekhov, Publishers, pp.310-323.



Other

Adler, VE, Berest, YY, Buchstaber, VM, Grinevich, PG, Dubrovin, BA, Krichever, IM, Novikov, SP, Sergeev, AN, Feigin, MV, Felder, G, Ferapontov, EV, Chalykh, OA, Etingof, PI (2016) Alexander Petrovich Veselov (on his 60th birthday). DOI: 10.1070/rm9734.



Getting in touch

Research Office
Loughborough University
Loughborough
Leicestershire
LE11 3TU
researchpolicy@lboro.ac.uk
+44 (0)1509 222453