Proceedings of the International Conference DAYS on DIFFRACTION 2018
We develop a method for the application of the Inverse Scattering Technique to the analysis of surface water waves and present here some evidence on its efficiency. The general idea is to interpret nonlinear wave groups in terms of soliton-type structures - envelope solitons in the framework of the integrable nonlinear Schrodinger equation. Such analysis can improve understanding of the nonlinear wave group dynamics and, in particular, could help to elaborate tools for short-term forecasting of dangerous waves in the sea. The technique may also be applied to the problem of the information decoding in soliton based optical transmission lines.
Depending on the scales of periodic irregularities in the problem under study, a solution arises which describes two (“double-deck”) or three (“triple-deck”) boundary layers on the plate. Mainly, we study the equations describing the velocity oscillations in the boundary layers arising because of periodic irregularities and show their command nature.