The case doesn't belong to you even though you are the alleged victim. It belongs to the prosecutor who has been assigned to the case. But as the alleged victim, you have some input, because for the state to win the case against your boyfriend, if the case was going to go to trial, you would be expected to testify against him.
So what you need to do as soon as you can do it, is to reach out to the prosecutor assigned to the case and tell him or her what you have said really happened: that all you had was an argument; that you were not harassed or assaulted, that you neighbors got it all wrong and that you do not wish your boyfriend to be prosecuted.
The prosecutor may side with you or may not, depending upon how strong a case he or she thinks he has. If he won't dismiss the case against your boyfriend, then your next step would be to get in touch with your boyfriend's lawyer and make it clear to him what you told the prosecutor and that you want the case dropped.
Generally, once the defense and the victim are on the same page about not wanting the case to go forward, something favorable to the defendant can be worked out.
But it all starts with you speaking your mind to the prosecutor.