# Laboratory and numerical study of intense envelope solitons of water waves: Generation, reflection from a wall, and collisions

@article{Slunyaev2016LaboratoryAN, title={Laboratory and numerical study of intense envelope solitons of water waves: Generation, reflection from a wall, and collisions}, author={Alexey Slunyaev and Marco Klein and Günther F. Clauss}, journal={Physics of Fluids}, year={2016}, volume={29}, pages={047103} }

The investigation of dynamics of intense solitary wave groups of collinear surface waves is performed by means of numerical simulations of the Euler equations and laboratory experiments. The processes of solitary wave generation, reflection from a wall, and collisions are considered. Steep solitary wave groups with characteristic steepness up to kAcr ≈ 0.3 (where k is the dominant wavenumber and Acr is the crest amplitude) are concerned. They approximately restore the structure after the…

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## References

SHOWING 1-10 OF 46 REFERENCES

### Simulations and experiments of short intense envelope solitons of surface water waves

- Physics
- 2013

The problem of existence of stable nonlinear groups of gravity waves in deep water is considered by means of laboratory and numerical simulations with the focus on strongly nonlinear waves. Wave…

### Numerical simulation of “limiting” envelope solitons of gravity waves on deep water

- Physics
- 2009

The results of numerical simulation of “limiting” envelope solitons of gravity waves on deep water (i.e., long-lived nonlinear groups including waves close to breaking) are reported. The existence of…

### Interacting nonlinear wave envelopes and rogue wave formation in deep water

- Physics
- 2014

A rogue wave formation mechanism is proposed within the framework of a coupled nonlinear Schrodinger (CNLS) system corresponding to the interaction of two waves propagating in oblique directions in…

### Applicability of envelope model equations for simulation of narrow-spectrum unidirectional random wave field evolution: Experimental validation

- Physics
- 2010

Combined experimental and numerical study of spatial evolution of unidirectional random water-waves is performed. Numerous realizations of wave fields all having identical initial narrow-banded…

### Extreme run-up events on a vertical wall due to nonlinear evolution of incident wave groups

- Environmental ScienceJournal of Fluid Mechanics
- 2016

Nonlinear evolution of long-crested wave groups can lead to extreme interactions with coastal and marine structures. In the present study the role of nonlinear evolution in the formation of extreme…

### Role of Multiple Soliton Interactions in the Generation of Rogue Waves: The Modified Korteweg-de Vries Framework.

- PhysicsPhysical review letters
- 2016

The role of multiple soliton and breather interactions in the formation of very high waves is disclosed within the framework of the integrable modified Korteweg-de Vries (MKdV) equation, when solitons possess "frozen" phases (certain polarities).

### Transverse instabilities of deep-water solitary waves

- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2006

The dynamics of a one-dimensional slowly modulated, nearly monochromatic localized wave train in deep water is described by a one-dimensional soliton solution of a two-dimensional nonlinear…

### On the evolution of packets of water waves

- PhysicsJournal of Fluid Mechanics
- 1979

We consider the evolution of packets of water waves that travel predominantly in one direction, but in which the wave amplitudes are modulated slowly in both horizontal directions. Two separate…