Adding density to your shared wall will reduce airborne sound. This can be accomplished by adding 2 layers of MLV with adhesive backing over the existing drywall. Install the first layer across your wall parallelt to your floor then add the second layer perpendicular to the first. The result will be a doubling of the sound reducing quality of your wall.
It is important that you seal the seams of the vinyl and caulk around the perimeter to create an air tight seal between the vinyl and the drywall. To finish your project, add another sheet of drywall or paint the MLV.
Click here for more info on the MLV:
http://www.soundproofing.org/infopages/flooring.htmIf the noise is traveling over the wall and through your ceiling tiles then you could add the MLV over the tiles as long as the support system will hold up the weight. Another approach is to add Acoustic Cotton Fiber Insulation over the ceiling tiles to absorb and block sound. It may reduce the sound up to 15 dB.
Take a look at the product spec for the Cotton insulation:
http://www.soundproofing.org/brochures/SSP%20Cotton%20Fiber%20Insulation.htm