Soliton interaction as a possible model for extreme waves in shallow water

Peterson, P. and Soomere, T. and Engelbrecht, J. and Groesen van, E. (2003) Soliton interaction as a possible model for extreme waves in shallow water. Nonlinear Processes in Geophysics, 10 (6). pp. 503-510. ISSN 1023-5809

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Abstract:	Interaction of two long-crested shallow water waves is analysed in the framework of the two-soliton solution of the Kadomtsev-Petviashvili equation. The wave system is decomposed into the incoming waves and the interaction soliton that represents the particularly high wave hump in the crossing area of the waves. Shown is that extreme surface elevations up to four times exceeding the amplitude of the incoming waves typically cover a very small area but in the near-resonance case they may have considerable extension. An application of the proposed mechanism to fast ferries wash is discussed.
Item Type:	Article
Copyright:	© European Geosciences Union 2003
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Applied Analysis and Mathematical Physics (AAMP)
Link to this item:	http://purl.utwente.nl/publications/45950
Official URL:	http://www.nonlin-processes-geophys.net/10/503/2003/npg-10-503-2003.html
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