When the engine is running, the air intake valve is lifting up.
If the valve does not operate properly, check the air intake solenoid valve hoses for leak.
If there are no leaks, check the air intake solenoid valve.

Air Intake Solenoid Valve Unit TestSeat Cover Removal
Remove:
Rear Seat (see Rear Seat Removal)
Remove the bolts [A].
Remove the upper seat cover backward [B] to clear the
hook portions.
Remove:
Front Seat (see Front Seat Removal)
Quick Rivets [A]
Bolts [B]
Seat Covers [C]
...
Engine Installation
Apply molybdenum disulfide grease to the threads of the
adjusting collars [A].
Install the adjusting collars to crankcase backside until
end of the threads.
Install the adjusting collar [A] to the frame until end of the
threads.
Replace the engine mounting nuts with ne ...
Air Cleaner Housing Installation
For ZX1000JD/KD, be sure to install the pad [A].
Install the clamp bolt heads [A] inside as shown in the
figure.
Install the air cleaner housing on the throttle body assy.
Push in the ducts [B] touch the stoppers [C] of the throttle
body.
Be sure the hoses are routed correctly ...