What should I do about my girlfriend?

She has broken up with me twice in the past few days over another guy; however, always a few hours later she comes back to me crying asking me to forgive her. She's asked me to give her time and patience. She doesn't know what to do. She says she thinks she likes this guy but she also likes me and really wants to see what she should do. I told her how I felt about this and I have been upset and angry over it and she says she understands and all but has asked me to keep on going. I think this might have to do with me being in Paris, France for 2 months. I only have 1 more month left. I really like her and I would like to keep going but I also am starting to feel more and more drained by this. I talk to her everyday and I try to come to a resolution, but haven't. Any advice?