Emphasizing speed:
* Acute
* Sudden
* Abrupt
* Flash (for very rapid onset)
* Transient
Emphasizing brevity:
* Brief
* Short-lived
* Ephemeral
* Self-limited
Combined emphasis:
* Acute and transient
* Sudden and brief
* Abrupt and short-lived
More specific terms:
* Fulminant (for a very severe and rapid onset)
* Episodic (for repeated short courses)
* Recurrent (for repeated short courses)
Formal terms:
* Rapidly progressing
* Short-duration
Informal terms:
* Quick hit
* Short-lived burst
The best alternative will depend on the specific context of your writing.
Example:
Instead of saying "The patient experienced a rapid onset and short course of symptoms," you could say "The patient experienced acute, transient symptoms."