Projekt

At present, the development of rogue wave theory is mostly based on the nonlinear Schrödinger equation (NLSE). This equation is integrable and allows to obtain many results in analytical form. Solutions of this equation have been modeled experimentally in a water tank and show a rather good correspondence with the theory. However, discrepancies do exist. An asymmetry of the experimental data contrary to the analytic solutions was found and traced back to crucial higher order terms ignored in the modeling. Higher order term corrections can be very important when trying to predict the growth of a rogue wave under oceanic conditions. Departures from the predictions of the NLSE have been preliminarily confirmed with the direct modeling of rogue waves based on the Dysthe and Euler equations. Although the main features of the rogue waves up to fifth order have been similar to the NLSE case, the deviations increase with the length of propagation. Thus, a careful modeling is promising for higher accuracy and for a better understanding of extreme waves. This grant integrates Professor J. M. Soto Crespo, CSIC-Instituto de Optica, Madrid, in an ongoing project on 'Extreme Ocean Gravity Waves: Analysis and Prediction on the Basis of Breather Solutions in Nonlinear Evolution Equation'.

• Prof. Dr. Norbert Hoffmann

  Technische Universität Hamburg-Harburg
  Studiendekanat Maschinenbau
  Arbeitsgruppe für Strukturdynamik
  Hamburg
  

• Prof. Dr. José Soto Crespo

  Consejo Superior de
  Investigaciones Científicas (CSIC)
  Instituto de Optica
  Madrid
  Spanien
  

• Prof. Dr. Efim Pelinovsky

  Russian Academy of Sciences
  Department of Nonlinear Geophysical Processes
  Institute of Applied Physics
  Nizhny Novgorod
  Russland