NWACOMPLEX · Advanced nonlinear wave analysis for complex experimental data

Advanced nonlinear wave analysis for complex experimental data

Today, the fundamental interest in complex nonlinear wave phenomena, and also practical needs of the society, such as dense optical data transmission and prediction of extreme water wave events, bring to agenda the problem of strongly nonlinear waves description, when nonlinearity can no longer be accounted using the perturbative approach. The basic models of nonlinear wave propagation in optics and surface waves hydrodynamics – the one-dimensional nonlinear Schrodinger (NLS) equations – belong to the class of nonlinear integrable mathematical models, which admit the direct and inverse scattering transformations (DST/IST). Combination of integrable models and strongly nonlinear fields leads to dynamics where such nonlinear coherent structures as solitons and breathers play the dominant role. Among the most fascinating strongly nonlinear phenomena described by integrable NLS equation are the modulation instability development, formation of rogue waves and dam-break problem, which are actively discussed in both scientific and engineering contexts. The advanced experimental facilities now allow to investigate the complex nonlinear wave phenomena in extensive physical settings with optics and hydrodynamics providing favourable conditions to observe solitons, breathers and their interactions. This research program entitled “Advanced nonlinear wave analysis for complex experimental data” (NWACOMPLEX) aims at pioneering studies of nonlinear wave processes in optics and hydrodynamics in collaboration of the Fellow with top-level experimental teams of the host and partners organizations. The Fellow being experienced in the DST and IST techniques, physics of nonlinear coherent structures and various computational methods proposes novel theoretical approaches and numerical tools for advanced analysis of modern experiments on generation, detection and nonlinear propagation of light in optical systems and waves on the surface of water. The innovative idea of the project is to reveal the nature of complex nonlinear phenomena using inverse scattering transform theory employing the most recent numerical advancements. The concrete objectives of the project are the developing of new stable and efficient DST /IST algorithms for complex nonlinear wavefields, studying of the soliton and breather complexes, novel soliton and breather gases configurations. Analysis of the effects laying beyond integrable models predictions. Applying of the developed DST/ IST algorithms and verifying of the obtained theoretical predictions in the laboratories of the Host and partner organizations. The project is focused on two different branches of wave physics, namely, optics and hydrodynamics. Its multidisciplinary approach allows universal theoretical description on a time scale of seconds for water waves and on a time scale of picoseconds for light waves. The project's other objective is to build a strong collaboration between the Fellow and the project participants, benefiting the host and partner organizations through the two-way transfer of knowledge.

Data: CORDIS, © European Union