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Study on the Interaction of Nonlinear Water Waves considering Random Seas
Author(s) -
Hollm Marten,
Dostal Leo,
Fischer Hendrik,
Seifried Robert
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000307
Subject(s) - rogue wave , nonlinear system , nonlinear schrödinger equation , soliton , physics , collision , wind wave , computation , waves and shallow water , classical mechanics , bose–einstein condensate , quantum electrodynamics , quantum mechanics , mathematics , computer science , computer security , algorithm , thermodynamics
Abstract 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.