When the player is riding a horse and comes up to the edge of the water, the horse will not walk up onto the land (even if there is only one block height difference). It will act as if it is stuck against a wall.
Jumping has no effect. If the player dismounts, the horse may walk up onto the land on its own, or a lead can be attached and the horse can be led out of the water.
Duplicate of MC-312066