Advanced nonlinear wave analysis for complex experimental data
The proposed research program entitled NWACOMPLEX aims at pioneering studies of nonlinear wave processes in optics and hydrodynamics implementing by young talented theoretical researcher Dr. A Gelash in exceptional collaboration with top-level experimental teams of the EU Host Université de Bourgogne and partners organizations. The transfer of the Fellow knowledge to experimental teams will make his theoretical and numerical developments widely used in practice. The project will strongly enhance the expertise and professionalism of the Dr. Gelash by high-quality trainings, new contacts and collaborations leading to a cascading effect on his career development. The Fellow being experienced inverse scattering transform technique, 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 project will benefit the nonlinear science by fundamental studies of novel mechanisms of coherent structures interactions, statistic of nonlinear waves, dense soliton and breather gases. The Fellow will present theoretical predictions on nonlinear wave dynamics and statistic which will be verified by experimental groups of the host and partner organizations. The developed numerical tools will allow to generate various nonlinear light and water surface waves patterns for experiments on their propagation, as well as provide the opportunity to reliably analyse complex experimental data revealing coherent structures and their parameters.