In this situation the partners aren't heardto each other. Same behavior doesn't solve their problem and issues come upagain and again.   I hope thisisn't your case. After breaking up you should take a time out and think for afew days or weeks.

You should calm down for getting back with ex,for it you need to change your place and think. For example, move to the country,have a rest alone on the nature whilst thinking about your solution to thisproblem. Do it. Don't allow superfluous negative emotions to overwhelm you.Change of place leads to the shift in your mind and thus - in youroutcome.  

 Take a criticallook at yourself and do some serious self evaluation. Think about reasons ofyour breaking up. Find out what you made wrong and what (very possible) led tothis troublesome arguments. Don't accuse your ex in the faults even you're surein it. This won't lead to desired outcome. Instead, take the responsibility forthe breaking up on yourself.

Take full responsibility on yourselfin any case! It will make of you look strong and powerful. Your ex will see youin other light. Only this will be success! This behavior will solve yourproblem!  It's difficult but effective for gettingback with ex.   You shouldn?tbe needy, uncertain and begging. You shouldn't tell your ex how much you lovethem and need them in your life. This usually leads to your ex moving furtheraway.

You should become self-confident and take the responsibility on yourself.  The belief inyourself and confident behavior are the ways to success and happiness. Toincrease the self-confidence you should change outwardly and inwardly.  

Self-confidentyou have psychological power and better resistance from the fails and are fullof optimism. Being the optimist, smiling and laughing you will become veryinteresting and very attractive for your ex, thus significantly increasing yourchances of getting back with ex. Selfsame you will build agood friendly space around yourself. In this case you'll attract your ex again.