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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
  • Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation, Roberti, G., El, G., Randoux, S., Suret, P. 22 Jul 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. 26 Jul 2019, In: Journal of Fluid Mechanics
  • 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
  • Hydrodynamic optical soliton tunnelling, Sprenger, P., Hoefer, M., El, G. 29 Mar 2018, In: Physical Review E
  • Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments, Randoux, S., Suret, P., Chabchoub, A., Kibler, B., El, G. 21 Aug 2018, In: Physical Review E
  • Solitonic dispersive hydrodynamics: theory and observation, Maiden, M., Anderson, D., Franco, N., El, G., Hoefer, M. 6 Apr 2018, In: Physical Review Letters
  • Stationary expansion shock waves for a regularized Boussinesq system, El, G., Hoefer, M., Shearer, M. 2 Jan 2018, In: Studies in Applied Mathematics
  • Dispersive and diffusive-dispersive shock waves for non-convex conservation laws, El, G., Hoefer, M., Shearer, M. 7 Feb 2017, In: SIAM Review

PGR Supervision

Giacomo Roberti Start: 01/10/2018


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