Department of Mathematical Sciences Loughborough University Tel: +44 (0) 1509 22 2861 Fax: +44 (0) 1509 22 3969

Eugene Ferapontov

Recent Publications:

B. Doubrov and E.V. Ferapontov,
On the integrability of symplectic Monge-AmpŽre equations,
arXiv:0910.3407.
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E.V. Ferapontov, K.R. Khusnutdinova and C. Klein,
On linear degeneracy of integrable quasilinear systems in higher dimensions,
arXiv:0909.5685.
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E.V. Ferapontov, A. Moro and V.S. Novikov,
Integrable equations in 2+1 dimensions: deformations of dispersionless limits,
J. Phys. A: Math. Theor. 42 (2009) 18pp.
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E.V. Ferapontov and A. Moro,
Dispersive deformations of hydrodynamic reductions of 2D dispersionless integrable systems,
J. Phys. A: Math. Theor. 42 (2009) 035211, 15pp.
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P.A. Burovskii, E.V. Ferapontov and S.P. Tsarev,
Hamiltonian systems of hydrodynamic type in 2+1 dimensions,
to appear in International J. Math. (2010); arXiv:0802.2626v1.
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E.V. Ferapontov, A. Moro and V.V. Sokolov,
Hamiltonian systems of hydrodynamic type in 2+1 dimensions,
Comm. Math. Phys. 285, no. 1 (2009) 31-65.
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E.V. Ferapontov and A.V. Odesskii,
Integrable Lagrangians and modular forms,
arXiv:0707.3433.
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E.V. Ferapontov, L. Hadjikos and K.R. Khusnutdinova,
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian,
International Mathematics Research Notices 2009; doi: 10.1093/imrn/rnp134; arXiv:0705.1774.
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E.V. Ferapontov and D.G. Marshall,
Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor,
Math. Ann. 339 (2007) 61-99.
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E.V. Ferapontov, K.R. Khusnutdinova, D.G. Marshall and M.V. Pavlov,
Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt brackets,
J. Math. Phys. 47 (2006) 103507 1-13.
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E.V. Ferapontov and K.R. Khusnutdinova,
The Haantjes tensor and double waves in multi-dimensional systems of hydrodynamic type: a necessary condition for integrability,
Proc. Royal Soc. A 462 (2006) 1197-1219.
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E.V. Ferapontov, K.R. Khusnutdinova and S.P. Tsarev,
On a class of three-dimensional integrable Lagrangians,
Comm. Math. Phys. 261 (2006) 225-243.
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E.V. Ferapontov, K.R. Khusnutdinova and M.V. Pavlov,
Classification of integrable (2+1)-dimensional quasilinear hierarchies,
Theor. Math. Phys. 144 (2005) 35-43.
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E.V. Ferapontov and K.R. Khusnutdinova,
Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability,
J. Math. Phys. 45 (2004) p. 2365-2377.
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E.V. Ferapontov and K.R. Khusnutdinova,
The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type,
J. Phys. A: Math. Gen. 37 (2004) 2949-2963.
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E.V. Ferapontov and K.R. Khusnutdinova,
On the integrability of (2+1)-dimensional quasilinear systems,
Comm. Math. Phys. 248 (2004) 187-206.
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L.V. Bogdanov and E.V. Ferapontov,
Projective differential geometry of higher reductions of the two-dimensional Dirac equation,
J. Geom. Phys. 52 (2004) 328-352.
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E.V. Ferapontov,
Hypersurfaces with flat centroaffine metric and equations of associativity,
Geometriae Dedicata, 103 (2004) 33-49.
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