Abstract
We have modelled gravity waves in shallow water by means of non-linear transmission lines working in the radiofrequency range. The analogy between a one-dimensional shallow-water medium and a transmission line is demonstrated by the similarities of both their non-linear and dispersive properties. We discuss the results of our experiments on specially constructed radiofrequency models, and compare them with the observations of other authors on shallow-water sea swell. The formation of the shallow-water swell spectrum may be explained, in a whole variety of cases, by the non-linear mixing of the spectral components of waves approaching the shore. This is accompanied by both up- and down-conversion of the wave energy.
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