The bucking is up and down. The tires are filled at exactly the max pressure.
You say your trailer only weighs 1,000 pounds and it is bucking, not swaying? You might try to lower your tire pressure and see if that helps at all.
I copied this from somewhere on the forum and can't find it again to give credit; but, I'll share what was written anyway:
If I'm reading your question correctly, you want to know if running a certain tire pressure will do something good or bad for the trailer...Absolutely!
The way your finished, loaded trailer rides is directly effected by what tire pressure you're running. Running a very low air pressure will make the trailer more likely to wiggle and sway behind the tow vehicle. It will seem very bouncy and squishy and wear the tires on the outer edges. If a high PSI is used, the trailer will ride very harsh. Hitting bumps will make the trailer want to jump. The tires will also be over inflated and wear in the middle.
For even wear and a pleasant ride, there is an optimum PSI.
If you know the weight of your trailer loaded and ready, you're half way there. Take your trailer for example: GTW 1000. If balanced correctly, the tongue should have a weight of 100# and each tire should share the rest of the load at 450# each.
Lets say your trailer has 4.80-12 tires rated at a max load of 750# at 60psi. If you take your trailer weight knowing that only 450# is going to be riding on each tire, it's just a simple math formula.
Take your load per tire (450#), multiplied by the max PSI of the tire (60), divide that by the max load of the tire (750), and you get what should be your correct PSI for maximum ride and wear quality.
450x60= 27000/750= 36PSI
So, in this case, your trailer will perform best with a tire pressure right around 36PSI.
This formula can be applied for any tire as long as you know the max weight, PSI, and the actual weight it will be carrying.
Also, some roads are made in such a way that the trailer will bounce a tad. Driving in and out of my residential area, I feel that but not on the main streets around town. So, drive around and see if you feel the bounce on many streets or only certain ones.
The forum members can offer solutions; but, only you can find the proper answer(s) to your problem.