Publisher URL: http://arxiv.org/abs/1706.07394v2
Publisher DOI: 10.1103/PhysRevLett.120.224102
Title: Phase Domain Walls in Weakly Nonlinear Deep Water Surface Gravity Waves
Language: English
Authors: Tsitoura, F. 
Gietz, Uwe 
Chabchoub, Amin 
Hoffmann, Norbert  
Keywords: Nonlinear Sciences - Pattern Formation and Solitons;Nonlinear Sciences - Pattern Formation and Solitons
Issue Date: 1-Jun-2018
Source: Physical review letters 22 (120): 224102 (2018-06-01)
Journal or Series Name: Physical review letters 
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.
URI: http://hdl.handle.net/11420/2584
ISSN: 0031-9007
Institute: Fluiddynamik und Schiffstheorie M-8 
Type: (wissenschaftlicher) Artikel
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