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D-Index & Metrics

Mathematics

D-Index
41
Citations
5541
World Ranking
1949
National Ranking
132

Overview

Gennady El is affiliated with Northumbria University in the United Kingdom and specializes in Physics and Astronomy. Their research primarily focuses on Statistical and Nonlinear Physics, with significant contributions to Atomic and Molecular Physics, and Optics. They have also worked in the fields of Mathematical Physics, Oceanography, and Atmospheric Science.

The scientist's main topics of work include:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Mathematical Physics Problems
  • Advanced Fiber Laser Technologies
  • Ocean Waves and Remote Sensing
  • Meteorological Phenomena and Simulations
  • Oceanographic and Atmospheric Processes

Gennady El has authored several research papers published in recognized venues. Notable publications include:

  • Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves, 2020, Physical Review Letters
  • Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation, 2020, Physical review. E
  • Soliton gas: Theory, numerics, and experiments, 2024, Physical review. E
  • Soliton gas in bidirectional dispersive hydrodynamics, 2021, Physical review. E
  • Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics, 2023, Studies in Applied Mathematics

The scientist frequently publishes in several key venues with the following distribution of work:

  • arXiv (Cornell University)
  • Physical review. E
  • Physical Review Letters
  • Physical Review Research
  • Studies in Applied Mathematics

Collaborations form an integral part of their research. Frequent co-authors include:

  • Pierre Suret
  • Stéphane Randoux
  • Giacomo Roberti
  • François Copie
  • T. Congy

Best Publications

  • Dispersive shock waves and modulation theory

    Gennady El;Mark Hoefer

  • Kinetic equation for a dense soliton gas

    Gennady El;A.M. Kamchatnov

  • Unsteady undular bores in fully nonlinear shallow-water theory

    Gennady El;Roger Grimshaw;Noel F. Smyth

  • Decay of an initial discontinuity in the defocusing NLS hydrodynamics

    G. A. El;V. V. Geogjaev;A. V. Gurevich;A. L. Krylov

  • Resolution of a shock in hyperbolic systems modified by weak dispersion.

    Gennady El

  • Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws

    Gennady El;Mark Hoefer;Michael Shearer

  • The thermodynamic limit of the Whitham equations

    Gennady El

  • Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

    Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis

  • Undular bore theory for the Gardner equation

    A.M. Kamchatnov;Y.-H. Kuo;Tai-Chia Lin;T.-L. Horng

  • Oblique dark solitons in supersonic flow of a Bose-Einstein condensate

    G. A. El;A. Gammal;A. M. Kamchatnov

  • Inverse scattering transform analysis of rogue waves using local periodization procedure

    Stéphane Randoux;Pierre Suret;Gennady El

  • Nonlinear Evolution of the Locally Induced Modulational Instability in Fiber Optics

    Adrien E. Kraych;Pierre Suret;Gennady El;Stéphane Randoux

  • Theory of optical dispersive shock waves in photorefractive media

    G. A. El;A. Gammal;E. G. Khamis;Roberto André Kraenkel

  • Dam break problem for the focusing nonlinear Schr"odinger equation and the generation of rogue waves

    Gennady A. El;Eduardo G. Khamis;Alexander Tovbis

  • Bound State Soliton Gas Dynamics Underlying the Spontaneous Modulational Instability.

    Andrey Gelash;Andrey Gelash;Dmitry Agafontsev;Dmitry Agafontsev;Vladimir Zakharov;Vladimir Zakharov;Gennady El

  • Two-soliton interaction as an elementary act of soliton turbulence in integrable systems

    Efim N. Pelinovsky;Efim N. Pelinovsky;E.G. Shurgalina;E.G. Shurgalina;A.V. Sergeeva;A.V. Sergeeva;Tatiana G. Talipova;Tatiana G. Talipova

  • Kinetic Equation for a Soliton Gas and Its Hydrodynamic Reductions

    Gennady El;A.M. Kamchatnov;Maxim V. Pavlov;S.A. Zykov;S.A. Zykov

  • Integrable Shallow‐Water Equations and Undular Bores

    G A El;Roger H J Grimshaw;Maxim Pavlov

  • Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves

    Gennady El;Eduardo Khamis;Eduardo Khamis;Alexander Tovbis

  • Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves.

    Pierre Suret;Alexey Tikan;Félicien Bonnefoy;François Copie

  • Evolution of a Riemann wave in dispersive hydrodynamics

    A. V. Gurevich;A. L. Krylov;G. A. El;D. Ter Haar

Frequent Co-Authors

Marco Bertola
Marco Bertola Concordia University
Miguel Onorato
Miguel Onorato University of Turin
John M. Dudley
John M. Dudley University of Franche-Comté
Thibaut Sylvestre
Thibaut Sylvestre Centre national de la recherche scientifique, CNRS
Goëry Genty
Goëry Genty Tampere University
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Efim Pelinovsky
Efim Pelinovsky National Research University Higher School of Economics
Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics
Denys Dutykh
Denys Dutykh Khalifa University
Gino Biondini
Gino Biondini University at Buffalo, State University of New York

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