Not sure of the exact reason, but I saw this on a lawn I maintained (with a heavy mower).
What I did then was for a few months to mow an overlap of half a strip at the edge then continue as usual. This was to rest the balding patches.
I changed to continually overlapping every round so the wheels didn't compress the same place all the time.
After about 9 months the lines disappeared.
I never had the problem with my small electric mowers.