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Mathematics

D-Index
34
Citations
3333
World Ranking
2965
National Ranking
193

Overview

Evgeny Ferapontov is affiliated with Loughborough University in the United Kingdom. Their research spans several fields including mathematics and physics and astronomy, with a particular emphasis on statistical and nonlinear physics, applied mathematics, geometry and topology, atomic and molecular physics and optics, and mathematical physics.

The primary topics covered in Ferapontov's work include nonlinear waves and solitons, gas dynamics and kinetic theory, advanced mathematical physics problems, cold atom physics and Bose-Einstein condensates, algebraic geometry and number theory, numerical methods for differential equations, and catalysis and oxidation reactions.

Ferapontov has authored important papers published in various academic journals. Notable recent works include:

  • Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas, 2023, Journal of Mathematical Physics
  • Second-Order PDEs in 3D with Einstein-Weyl Conformal Structure, 2021, Annales Henri Poincaré
  • Hamiltonian Aspects of the Kinetic Equation for Soliton Gas, 2024, Journal of Nonlinear Science
  • Second-order integrable Lagrangians and WDVV equations, 2021, Letters in Mathematical Physics
  • Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge-Ampère Property, 2020, International Mathematics Research Notices

Frequent co-authors collaborating with Ferapontov include:

  • В. С. Новиков
  • Pierandrea Vergallo
  • M. V. Pavlov
  • Boris Kruglikov
  • Stanislav Opanasenko

Ferapontov publishes regularly in venues such as arXiv (Cornell University), Letters in Mathematical Physics, Journal of Nonlinear Science, manuscripta mathematica, and Journal of Mathematical Physics.

Best Publications

  • On the Integrability of (2+1)-Dimensional Quasilinear Systems

    Evgeny Ferapontov;Karima Khusnutdinova;Karima Khusnutdinova

  • Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature

    O I Mokhov;E V Ferapontov

  • Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type

    E. V. Ferapontov

  • Integration of weakly nonlinear hydrodynamic systems in Riemann invariats

    E.V. Ferapontov

  • Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability

    Evgeny Ferapontov;Karima Khusnutdinova

  • The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type

    Evgeny Ferapontov;Evgeny Ferapontov;Karima Khusnutdinova;Karima Khusnutdinova

  • On the integrability of symplectic Monge–Ampère equations

    B. Doubrov;E.V. Ferapontov

  • On the Einstein-Weyl and conformal self-duality equations

    Maciej Lukasz Dunajski;EV Ferapontov;B Kruglikov

  • Compatible Poisson brackets of hydrodynamic type

    E V Ferapontov

  • Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces

    Evgeny Ferapontov;Alexander Veselov

  • Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability

    E. V. Ferapontov;K. R. Khusnutdinova

  • Bi-Hamiltonian Structure in 2-d Field Theory

    E.V. Ferapontov;C. A. P. Galvão;O. I. Mokhov;Y. Nutku

  • INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY

    E. V. Ferapontov

  • Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor

    Evgeny Ferapontov;D.G. Marshall

  • Linearly degenerate PDEs and quadratic line complexes

    Evgeny Ferapontov;Jonathan Moss

  • Quasiclassical limit of coupled KdV equations: Riemann invariants and multi-Hamiltonian structure

    E. V. Ferapontov;M. V. Pavlov

  • Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry

    E.V. Ferapontov

  • Dupin hypersurfaces and integrable hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

    E.V. Ferapontov

  • On the matrix Hopf equation and integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

    E.V. Ferapontov

  • Surfaces of Demoulin: differential geometry, Bäcklund transformation and integrability

    E.V Ferapontov;W.K Schief

  • On a Class of Three-Dimensional Integrable Lagrangians

    Evgeny Ferapontov;Karima Khusnutdinova;S.P. Tsarev

Frequent Co-Authors

Wolfgang K. Schief
Wolfgang K. Schief University of New South Wales
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Alexander P. Veselov
Alexander P. Veselov Loughborough University
Colin Rogers
Colin Rogers University of New South Wales

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