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Solitary gravity-capillary water waves with point vortices

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  • We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a local bifurcation argument. The properties of the resulting waves are also examined: We find that they depend significantly on the position of the point vortices in the water column.
    Mathematics Subject Classification: Primary: 35Q31; Secondary: 35C07, 76B25.


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