Berny is indeed correct in his (or her?) assertion.
Dr Richard Whitcombe was an aerodynamicist at NACA in the 1950s, researching the cause of the sudden increase in drag, on an aircraft as it approaches the speed of sound (The transonic region - Mach 0.7 - Mach 1.5).
It was found that this drag was due to the formation of shock waves in local regions of supersonic flow over the airframe.
Whitcombe discovered that this kind of drag (termed Transonic or Wave Drag) was highly dependant on changes in the cross sectional area of an aircraft.
By subtly shaping the fuselage on the portion of the airframe where the wings are attached (waisting) the peak transonic drag rise could be reduced. Less drag for the same amount of thrust resulted in the aircraft breaking the speed of sound.
The F102 is the classic example in the USA, but also take time to look at the shape of the Blackburn Buccaneer in the UK.
In England, Professor Dietrich Kuchemann approached the same problem from a different angle and his research led to the characteristic 'Kuchemann carrot' aerodynamic fairings later found on the wings of the Handley Page Victor.
Whitcombes work later helped the development of the Super Critical Wing, but that as they say, is another story altogether!
I can recommend an excellent book called A History of Aerodynamics by John D. Anderson Jr for further reading.
Cheers,
Rob M.