Periodic waves with constant vorticity in water of infinite depth

Periodic waves propagating at a constant velocity at the surfaceof a fluid with constant vorticity in water of infinite depthare considered. The problem is solved numerically by a boundary-integral-equationmethod. Simmen & Saffman (Stud. Appl. Maths 75, 35, 1985)showed that there are families of solutions which have limitingconfigurations with a 120 angle at their crests or a trappedbubble at their troughs. It is shown that there are additionalfamilies of solutions. These families have limiting configurationswith trapped bubbles at their crests. Each bubble is circularand contains fluid in rigid-body rotation. The results are consistentwith previous calculations for solitary waves in water of finitedepth.