Wave groups in uni-directional surface-wave models

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Groesen van, E. (1998) Wave groups in uni-directional surface-wave models. Journal of engineering mathematics, 34 (1-2). pp. 215-226. ISSN 0022-0833

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Abstract:Uni-directional wave models are used to study wave groups that appear in wave tanks of hydrodynamic laboratories; characteristic for waves in such tanks is that the wave length is rather small, comparable to the depth of the layer. In second-order theory, the resulting Nonlinear Schrödinger (NLS) equation for the envelope of the wave group contains the dispersion of the group velocity multiplying the linear term and a lsquogen-coefficientrsquo that results from mode generation multiplying the nonlinear term. The signs of these coefficients determine whether experimentally relevant wave groups are possible or not. If the dispersion is modelled in such a way that it is correct for all wave lengths for infinitesimal waves, relevant wave groups are obtained consisting of constituent waves with a certain maximal wave length; other models for the dispersion (such as in the KdV-equation) lead to different results.
Item Type:Article
Copyright:© 1998 Springer
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/29812
Official URL:http://dx.doi.org/10.1023/A:1004355418313
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