Inducing Predefined Nonlinear Rogue Waves on Basis of Breather Solutions
Using Analytical Solutions of the Nonlinear Schroedinger Equation. Dissertationsschrift
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Abstract English:The Peregrine Breather, an analytical solution of the Nonlinear Schroedinger Equation, ismodified to induce locally and temporally accurate, predefined extreme wave events in anarbitrary directed sea state. To this end, a parameter study of the distortion term of theunstable Peregrine modulation is performed to enforce form, height, and steepness of the roguewave. In addition, the phase modulation is identified to be the crucial perturbation for thenonlinear Breather dynamic. With this knowledge, the inducing of a predefined rogue wavein non-uniform carrier waves and even in i...
Abstract English:The Peregrine Breather, an analytical solution of the Nonlinear Schroedinger Equation, ismodified to induce locally and temporally accurate, predefined extreme wave events in anarbitrary directed sea state. To this end, a parameter study of the distortion term of theunstable Peregrine modulation is performed to enforce form, height, and steepness of the roguewave. In addition, the phase modulation is identified to be the crucial perturbation for thenonlinear Breather dynamic. With this knowledge, the inducing of a predefined rogue wavein non-uniform carrier waves and even in irregular, directed sea states is presented, its limitsdetermined, and the Breather dynamics analyzed by spectral and phase evolution analysis intime and space. The results are compared to the dynamics of real occurred extreme waves anda reverse engineering as well as a forecast model for nonlinear real rogue waves are depictedbriefly.
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