This is the only reasonable advice so far.
Nobody here knows how to handle these kinds of situations. The ones who are not married are being either feminist or male chauvinist.
The ones who are married are looking at it from one sided looking glass.
Your situation is not as easy as it seems. It has all taken many years to come to the point where you filled separation papers.
You can surely mend the fences temporarily, or put a band aid to stop the bleeding but now this situation is at a point where you too need professional help . If you take initiative to control the damage or she gives in for now and things go back to normal, you will face the same situation again soon (Allah na karay) . ( May Allah be your , your wife’s and your kids protector. Ameen.