A phenomenological description of soliton splitting during run up


Groesen, E. van (1996) A phenomenological description of soliton splitting during run up. In: F. Dias & J.-M. Ghidaglia (Eds.), Mathematical problems in the theory of water waves. Contemporary Mathematics, 200 . American Mathematical Society, Providence, RI, pp. 211-222. ISBN 9780821805107

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Abstract:In this paper a simple model is proposed to describe the splitting of an initial single solitary wave that runs into shallower water into two solitary waves. Different from results in the literature that llse inverse scattering theory for the Korteweg - de Vries equation to find the splitting once a single (deformed) wave has arrived at a shallower region of constant depth, in this paper a quasi-static approximation is proposed to capture also the changes during run up. The model is completely based on qualitative properties of the energy and mass of single solitary waves as function of amplitude. With these relations, the splitting process can be described qualitatively in complutll agreement with results from numerical calculations.
Item Type:Book Section
Copyright:© 1996 American Mathematical Society
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/30276
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