Extreme nonlinear waves in external gravitational-like potentials: Possible applications for the optical soliton supercontinuum generation and the ocean coast line protection

Abstract

In view of the fact that the nonlinear Schrödinger equation model has a wide range of applicability, from nonlinear femtosecond optics, Bose–Einstein condensates and plasmas, to ocean extreme (monster) waves and hurricanes, we conclude that existing mathematical analogies open advantageous possibility to study optical, matter-wave and hydrodynamic nonlinear waves and solitons in parallel and due to the evident complexity of experiments with extreme nonlinear waves in oceans, offer remarkable potentialities in studies of these so complex systems by performing “optic hydrodynamics” experiments in the nonlinear fiber-optics systems. Specifically, we present the results of computer experiments of soliton interactions with different external gravitational-like potentials including that with varying levels of inclinations. We demonstrate novel effective mechanism of the supercontinuum generation both in nonlinear optics and in hydrodynamics based on the higher order N-soliton wave packets decay induced by external potentials of the hyperbolic tangent profiles with varying inclinations similar to the real ocean coast line profiles.