Not sure how to answer you. You aren't the first WAW who cheated and then wanted to come back when the left behind spouse finally found his/her feet and didn't want their spouse anymore.

Have you told him you are sorry and that you would like another chance? What would be different if you had this chance? Have you had individual counseling? Worked out what gave you wanderlust? Does he have someone else?

I'd suggest you start with actually asking him if he'd consider trying again with you. If you've done that and he adamantly refused, then you need to work on yourself, to make an attractive alternative to a life without you.

You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer