The electrical current has 2 main effects : thermal effect and electromagnetic effect.
The non-bursting current is the maximum current that the cable can carry without causing the bursting of the sheath ( cable isolator) caused by electromagnetic forces,
Commonly those forces are neglected and only the thermal effect of the current is considered,
But for larger currents the electromagnetic forces are considerable and taking them into consideration during the calculation sometimes causes a lower cable's short circuit current rating .
Please note that many respected cable manufacturers provide the maximum non-bursting current value.
Hope that those info are useful for you,