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Ocean waves are complex and often turbulent. While most ocean waveinteractions are essentially linear, sometimes two or more waves interact in anonlinear way. For example, two or more waves can interact and yield waves thatare much taller than the sum of the original wave heights. Most of thesenonlinear interactions look like an X or a Y or two connected Ys; at othertimes, several lines appear on each side of the interaction region. It wasthought that such nonlinear interactions are rare events: they are not. Here wereport that such nonlinear interactions occur every day, close to low tide, ontwo flat beaches that are about 2,000 km apart. These interactions are closelyrelated to the analytic, soliton solutions of a widely studiedmulti-dimensional nonlinear wave equation. On a much larger scale, tsunamiwaves can merge in similar ways.

Nonlinear shallow ocean wave soliton interactions on flat beaches