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Prof Gennady El


Department: Mathematics, Physics and Electrical Engineering

Gennady El 

I graduated from the Department of Physics and Mechanics of the Leningrad Polytechnic Institute (now St. Petersburg Polytechnic University) in 1986. I then moved to Moscow to work on a PhD project on nonlinear waves in plasma at the Lebedev Physical Institute, Russian Academy of Sciences. After obtaining a PhD in Theoretical Physics in 1991 I have held the posts of Researcher (1991-1993), Senior Researcher (1994 – 1999) and Leading Researcher (2000 – 2005) at the Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Moscow and also had visiting research fellowships at the Max Planck Institute for Solar System Research, Germany (1993 – 1995); Duke University, USA (1998); Monash University, Australia (1998 – 2000), and Coventry University, UK (2001 – 2005). In 2005 -2018 I have worked at Department of Mathematical Sciences, Loughborough University as a Lecturer (2005-2008), Senior Lecturer (2008 -2010), and a Reader in Applied Mathematics (2010 -2018).

In September 2018 I joined the Department of Mathematics, Physics and Electrical Engineering at Northumbria University as a Professor of Applied Mathematics. I am also a Visiting Professor at the Department of Mathematical Sciences, Loughborough University (2018 – present) and an Invited Professor at the Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM), University of Lille, France (2015 – present)

Google Scholar


  • Theoretical Physics PhD June 30 1991
  • Fellow of Higher Education Academy FHEA 2008

Research Themes and Scholarly Interests

Nonlinear dispersive waves; Solitons; Asymptotic methods for PDE's; Dispersive hydrodynamics

Key Publications

  • Please visit the Pure Research Information Portal for further information
  • From modulational instability to focusing dam breaks in water waves, Bonnefoy, F., Tikan, A., Copie, F., Suret, P., Ducrozet, G., Prabhudesai, G., Michel, G., Cazaubiel, A., Falcon, E., El, G., Randoux, S. 27 Mar 2020, In: Physical Review Fluids
  • Solitary wave fission of a large disturbance in a viscous fluid conduit, Maiden, M., Franco, N., Webb, E., El, G., Hoefer, M. 25 Jan 2020, In: Journal of Fluid Mechanics
  • Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation, El, G., Tovbis, A. 8 May 2020, In: Physical Review E
  • Bound state soliton gas dynamics underlying the spontaneous modulational instability, Gelash, A., Agafontsev, D., Zakharov, V., El, G., Randoux, S., Suret, P. 6 Dec 2019, In: Physical Review Letters
  • Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation, Roberti, G., El, G., Randoux, S., Suret, P. 19 Sep 2019, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
  • Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves, Congy, T., El, G., Hoefer, M. 25 Sep 2019, In: Journal of Fluid Mechanics
  • Modulational instability of a plane wave in the presence of localized perturbations, Kraych, A., Suret, P., El, G., Randoux, S. 23 Jun 2019, 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, Piscataway, Institute of Electrical and Electronics Engineers Inc.
  • Nonlinear evolution of the locally induced modulational instability in fiber optics, Kraych, A., Suret, P., El, G., Randoux, S. 8 Feb 2019, In: Physical Review Letters
  • Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure, Congy, T., El, G., Hoefer, M., Shearer, M. 1 Apr 2019, In: Studies in Applied Mathematics
  • Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type, El, G., Nguyen, L., Smyth, N. 1 Apr 2018, In: Nonlinearity

PGR Supervision

Giacomo Roberti Start: 01/10/2018


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