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My research focuses on the study of the spatio-temporal dynamics of nonlinear waves, in particular solitons. Solitons are fundamental nonlinear modes that take the form of localised wave packets that propagate without deforming. We are particularly interested in the complex behaviour of large ensembles of interacting solitons called soliton gases, combining experimental, numerical and theoretical approaches. Our experimental work is based mainly on two platforms:

  • Fibre optic systems: Recirculation loops for the generation, observation and real-time manipulation of the spatio-temporal dynamics of solitons. Ultrafast measurement of the optical field in single propagation in fibres using heterodyne temporal imaging.
  • Surface waves in a wave tank: Propagation of soliton gases generated numerically in 1D and 2D channels (impact of spatial dimensionality).

Our experiments are accompanied by numerical simulation work (non-linear Schrödinger equation: NLSE, Gross-Pitaevskii equation: GPE), synthesis and non-linear spectral analysis (inverse scattering transform: IST) in conjunction with advanced theoretical models (soliton gas theory, generalised hydrodynamics: GHD).

Selected results

Soliton collision