Solitary gravity-capillary water waves with point vortices

Abstract

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.

36 pages, 4 figures. As accepted for publication in Discrete Cont. Dyn. Syst

References in corpus (2)

• Trimodal steady water waves
• Global bifurcation of steady gravity water waves with critical layers

Cited by in corpus (2)

• Traveling gravity water waves with critical layers
• Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity