How is airbrake function performed on the Dassault Rafale?
The Dassault Rafale has no dedicated airbrakes. By having two means of pitch control, namely wing elevons and canards, in combination with relaxed stability and an advanced FCS, it can move both into extreme deflection angles without sacrificing pitch control. This site states:


  When landing, both canards and trailling-edge control surfaces can be
  used for braking, and Rafale may be able to use canards for braking
  even while in flight.


Also, having little load to carry helps. The display aircraft was most likely flying close to its minimum wing loading (which is just 276&nbsp;kg/m²), and by cutting back thrust could employ its regular aerodynamic drag for braking.