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Complex dynamics of solitary water waves in three dimensions

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If you have a question about this talk, please contact Dr Ed Brambley.

When both gravity and surface tension effects are included in the water wave problem, there are multiple families of solitary waves that can be found, including fully three dimensional localized waves in water of infinite depth. I will present the bifurcation problem together with the computation of various branches of travelling solitary wave solutions, followed by time-dependent computations performed in order to understand the nonlinear evolution of wave interactions and instabilities. The rich behaviour is remarkable, with “quantized” energy states and complex multi-wave interactions/instabilities. A possible simpler model for these types of waves will also be described.

This talk is part of the Fluid Mechanics (DAMTP) series.

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