"nut up" aka HTFU
Wider tires if they fit (2.5?) and lower pressures (as long as you don't bottom out on curbs/sticks etc) will of course increase pneumatic suspension. Also run less in the front as it bears less weight. If tires are the same size and same psi, then either the front is overinflated, or the rear is underinflated (or maybe both).
I run 29x2 tires on my commuter, and at 250lb I let them run down to about 30 psi each before I pump them up, at that point I can feel they're quite soft and really deforming over obstacles. If you weigh less than me you can get away with less psi.