Most Helpful Guy
If you're interested in staying for your children, take it from me, where my father left his previous family to start a new one.
The relationship has to be immensely on your back now. You've made wrong, I won't criticize your mistake, but do understand, that especially, you've broken your partner's trust and that will take a lot of effort to build back up. Effort you'll have to show through everyday work and not one big try.
If you aren't already discussing it, you will when he comes back. In either case, you have to stress how much you regret your decision, that for whatever reason, you did what you did and you have to own up to it.
You have children that are growing up and cannot be in a broken household. They are fragile humans who will imprint off of everything you two do. If you cannot make the relationship ultimately work, find a solution to the children at least, as they would definitely pay if they don't have good parents. Use this point if all else fails, but do not try to manipulate him. If he understands that you're trying so, he will have to idea to run out.
Most Helpful Girl
Why did you send the nudes though were you tired in your relationship or some thing? Im sorry but the fact that you did that was wrong and some times a person needs to face the consequences for they actions, some thing must have been wrong in your relationship to have done that in tbe first place so maybe ur not as happy with him as you think you are, even though you have kids you have to consider his feelings this is not about you this is the fact that he feels hurt and he is not a person that can erase what had happen like nothing had ever happen you can't expect that, it had happen and it can't be taken back, all you can do is tell him your sorry and be honest tell him why you had honestly send nudes in the first place, tell him he wasn't giving you enough attention or whatever the real reason is that you did that because the truth is always the best you need to tell him why you did that and that you felt unhappy or whatever the reason was, then tell him it will never happen again that you want you two to work on the relationship and make it work for the kids because they deserve 2 parents, every one makes mistakes and at least you will show him you owning up to it, but if he doesn't wanna get back together you can't really do much about it as he is likely deeply hurt you will just have to try ur best to fix things and if not then you can still have family days together, im sorry hope it works out