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Steady linear gravity waves of small amplitude travelling on a current ofconstant vorticity are found. For negative vorticity we show the appearance ofinternal waves and vortices, wherein the particle trajectories are not any moreclosed ellipses. For positive vorticity the situation resembles that of Stokeswaves, but for large vorticity the trajectories are affected.

Linear water waves with vorticity: rotational features and particle paths