Special Session 36: 

The modelling of hydrodynamic solitons and breathers

Amin Chabchoub
The University of Sydney
Australia
Co-Author(s):    Hung-Chu Hsu, Yang-Yih Chen, Meng-Syue Li, Olivier Kimmoun, Hubert Branger, Christian Kharif, Norbert Hoffmann, Miguel Onorato, Takuji Waseda, Edmund Kelleher, Bertrand Kibler, Goery Genty, John Dudley and Nail Akhmediev
Abstract:
The uni-directional propagation of stationary and unstable wave packets can be deterministically described and modelled within the framework of the nonlinear Schroedinger equation or modified nonlinear Schroedinger equation. We will report a number of observations attributed to soliton and breather dynamics, measured in different hydrodynamic wave facilities, and discuss the applicability and limitations as well as the role of weakly nonlinear evolution equations in the modelling of such localized and coherent structures on the water surface.