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Publisher DOI: 10.1002/pamm.202000307
Title: Study on the interaction of nonlinear water waves considering random seas
Language: English
Authors: Hollm, Marten  
Dostal, Leo 
Fischer, Hendrik 
Seifried, Robert  
Issue Date: 25-Jan-2021
Publisher: Wiley-VCH
Source: Proceedings in applied mathematics and mechanics 20 (1): e202000307 (2021)
Abstract (english): 
The nonlinear Schrödinger equation plays an important role in wave theory, nonlinear optics and Bose-Einstein condensation. Depending on the background, different analytical solutions have been obtained. One of these solutions is the soliton solution. In the real ocean sea, interactions of different water waves can be observed at the surface. Therefore the question arises, how such nonlinear waves interact. Of particular interest is the interaction, also called collision, of solitons and solitary waves.

Using a spectral scheme for the numerical computation of solutions of the nonlinear Schrödinger equation, the nonlinear wave interaction for the case of soliton collision is studied. Thereby, the influence of an initial random wave is studied, which is generated using a Pierson-Moskowitz spectrum.
Conference: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2021) 
DOI: 10.15480/882.3896
ISSN: 1617-7061
Journal: Proceedings in applied mathematics and mechanics 
Institute: Mechanik und Meerestechnik M-13 
Document Type: Chapter/Article (Proceedings)
Project: Projekt DEAL 
Peer Reviewed: Yes
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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