Application of the Inverse Scattering Technique to deep water waves
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.