We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrödinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking...

Creation of better statistical models for improvement of existing operational wave prediction programs; study of non-stationary waves growth in presence of wind; interpretation of experimental data through study of self-similar solutions of Hasselmann equation; studying the integrability of 1D dynamical equations for surface waves; study of the possibility of generalization of compact 1D water ...

New method for numerical simulation of potential flows with a free surface of two-dimensional fluid, based on combination of the conformal mapping and Fourier Transform is proposed. The method is efficient for study of strongly nonlinear effects in gravity waves including wave breaking and formation of rogue waves.  2002 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

Submitted for the DFD17 Meeting of The American Physical Society Reduced-order prediction of rogue waves in two-dimensional deep-water waves1 THEMISTOKLIS SAPSIS, MOHAMMAD FARAZMAND, MIT — We consider the problem of large wave prediction in two-dimensional water waves. Such waves form due to the synergistic effect of dispersive mixing of smaller wave groups and the action of localized nonlinear...

The session on “Extreme and Rogue Waves” has been proposed and successfully run for ten years by the Natural Hazard Division of the European Geosciences Union, previously known as the European Geophysical Society. Proceedings of the session were published by Pelinovsky and Kharif (2006, 2008), Kharif et al. (2006) and Pelinovsky et al. (2009). Progresses in this field are further documented by ...