Work

From modulational instability to focusing dam breaks in water waves

Year: 2020
Type: article
Abstract: The Benjamin-Feir, or modulational, instability has been regarded as the main mechanism of spontaneous disintegration of broad weakly nonlinear wavepackets in deep water waves. We report water wave experiments with another result. For a range of initial parameters, a nearly rectangular initial wavepacket develops a strongly nonlinear modulation with two dispersive shock waves expanding from the edges of the wavepacket towards the center at finite speed. This is supported by theory based on the semiclassical limit of the one-dimensional focusing nonlinear Schrodinger equation.
Language: English
Open Access status: green
OpenAlex ID: W3014291396
FWCI: 2.856
Cites: 87
Cited by: 43
Related to: 10