How can my wife get domestic battery charges dropped on me?

The fact that domestic battery charges have been filed against you means that the decision to drop the charges against you do not fall squarely with your wife. That will ultimately be the local prosecutors decision. Often times in a domestic violence case the alleged victim, in this case your wife, is usually the prosecutors only witness, thus if she refuses to testify against you, or cooperate with the prosecution, the prosecution will often dismiss the case. You need to speak with a criminal defense attorney in your area for further specifics regarding your case.