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Publisher DOI: 10.1103/PhysRevLett.120.224102
arXiv ID: 1706.07394v2
Title: Phase domain walls in weakly nonlinear deep water surface gravity waves
Language: English
Authors: Tsitoura, F. 
Gietz, U. 
Chabchoub, A. 
Hoffmann, N.  
Keywords: Nonlinear Sciences - Pattern Formation and Solitons; Nonlinear Sciences - Pattern Formation and Solitons
Issue Date: 1-Jun-2018
Publisher: American Physical Society
Source: Physical review letters 120 (22): 224102 (2018)
Abstract (english): 
We report a theoretical derivation, an experimental observation and a numerical validation of nonlinear phase domain walls in weakly nonlinear deep water surface gravity waves. The domain walls presented are connecting homogeneous zones of weakly nonlinear plane Stokes waves of identical amplitude and wave vector but differences in phase. By exploiting symmetry transformations within the framework of the nonlinear Schrödinger equation we demonstrate the existence of exact analytical solutions representing such domain walls in the weakly nonlinear limit. The walls are in general oblique to the direction of the wave vector and stationary in moving reference frames. Experimental and numerical studies confirm and visualize the findings. Our present results demonstrate that nonlinear domain walls do exist in the weakly nonlinear regime of general systems exhibiting dispersive waves.
DOI: 10.15480/882.4204
ISSN: 1079-7114
Journal: Physical review letters 
Institute: Fluiddynamik und Schiffstheorie M-8 
Strukturdynamik M-14 
Document Type: Article
Project: Erregbarkeit extremer Meereswellen - Numerische Vorhersage und Frühwarnung durch Kombination von Verfahren der Wellenphysik, der numerischen Simulation von Bewegungsgleichungen und datenbasierter Verfahren 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
More Funding information: The authors acknowledge support by Deutsche Forschungsgemeinschaft (DFG) Grant No. HO 3852/10.
Publisher's Creditline: To cite this version: F. Tsitoura, U. Gietz, A. Chabchoub, and N. Hoffmann. Phase Domain Walls in Weakly Nonlinear Deep Water Surface Gravity Waves. Physical Review Letters, American Physical Society, 2018, 120 (22), pp. 224102. 10.1103/PhysRevLett.120.224102
License: In Copyright In Copyright
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