Shaky mattress and box springs. What to do to stop the shake?

This is a great bed to sleep on BY ONESELF!! Add a second person, and every little turn or movement and the other wakes up. The person moving has no sense of the bed's movement, yet the other person feels like they are witnessing a small 5.0 earth quake ....or worse. Any solutions? Can't return the items. Got as is. Haven't had a GOOD night's sleep in weeks.