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Study on the interaction of nonlinear water waves considering random seas
Citation Link: https://doi.org/10.15480/882.3896
Publikationstyp
Conference Paper
Publikationsdatum
2021-01-25
Sprache
English
Institut
Enthalten in
Volume
20
Issue
1
Article Number
202000307
Citation
Proceedings in applied mathematics and mechanics 20 (1): e202000307 (2021)
Contribution to Conference
Publisher DOI
Publisher
Wiley-VCH
Peer Reviewed
true
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.
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.
DDC Class
510: Mathematik
600: Technik
620: Ingenieurwissenschaften