Inducing Predefined Nonlinear Rogue Waves on Basis of Breather Solutions

Abstract English: The Peregrine Breather, an analytical solution of the Nonlinear Schroedinger Equation, is modified to induce locally and temporally accurate, predefined extreme wave events in an arbitrary directed sea state. To this end, a parameter study of the distortion term of the unstable Peregrine modulation is performed to enforce form, height, and steepness of the rogue wave. In addition, the phase modulation is identified to be the crucial perturbation for the nonlinear Breather dynamic. With this knowledge, the inducing of a predefined rogue wave in non-uniform carrier waves and even in irregular, directed sea states is presented, its limits determined, and the Breather dynamics analyzed by spectral and phase evolution analysis in time and space. The results are compared to the dynamics of real occurred extreme waves and a reverse engineering as well as a forecast model for nonlinear real rogue waves are depicted briefly.