An improved supersonic laminar flow wing structure, on a supersonic aircraft, having one or more of the following: a strake extending forwardly of the wing inboard extent, a raked wing tip, a reversed fillet at the strake or fuselage junction, an inboard leading edge flap extending over less than about 15% of the inboard wing panel span, and a hybrid plain-split flap having a lower surface portion deflectable downwardly relative to plain flap extent.