49 citations · 49 across the 4 of their papers we have counts for
6 papers
Three-wave resonant interactions in the diatomic chain with cubic anharmonic potential: theory and simulations
A. Pezzi, G. Deng, Y. Lvov +2
We consider a diatomic chain characterized by a cubic anharmonic potential. After diagonalizing the harmonic case, we study in the new canonical variables, the nonlinear interactio…
Phase-suppressed hydrodynamics of solitons on constant-background plane wave
Amin Chabchoub, Takuji Waseda, Marco Klein +2
Soliton and breather solutions of the nonlinear Schrödinger equation (NLSE) are known to model localized structures in nonlinear dispersive media such as on the water surface. One…
Wave group evolution and interaction
N. Karjanto
This thesis deals with mathematical and physical aspects of deterministic freak wave generation in a hydrodynamic laboratory. We adopt the nonlinear Schrödinger (NLS) equation as a…
Derivation of the Four-Wave Kinetic Equation in Action-Angle Variables
Miguel Onorato, Giovanni Dematteis
Starting from the action-angle variables and using a standard asymptotic expansion, here we present a new derivation of the Wave Kinetic Equation for resonant process of the type $…
Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves
Giovanni Dematteis, Tobias Grafke, Miguel Onorato +1
A statistical theory of rogue waves is proposed and tested against experimental data collected in a long water tank where random waves with different degrees of nonlinearity are me…
Spontaneous emergence of rogue waves in partially coherent waves: a quantitative experimental comparison between hydrodynamics and optics
Rebecca El Koussaifi, Alexey Tikan, Alessandro Toffoli +3
Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical propertie…