Dissolution of marriage is generally another term for divorce—but in some states it specifically refers to an uncontested divorce—a no fault divorce with a written separation agreement. And in California, for example, there is a summary dissolution that provides an expedited process under limited circumstances (California Family Code §2400).
The laws regarding various methods for dissolving a marriage are usually located in a state’s statutes—often in the Family Code or Domestic Relations Code.
In New York, dissolution of marriage is indeed another term for divorce. New York allows for both fault-based and no-fault divorces. As of 2010, New York recognizes no-fault divorce, which allows a divorce to be granted on the grounds that the relationship between the parties has broken down irretrievably for a period of at least six months (Domestic Relations Law §170(7)). Prior to this, a written separation agreement was a common method to obtain a no-fault divorce after living apart for a period of time. While New York does not have a 'summary dissolution' process like California, it does offer an uncontested divorce process when both parties agree on all major issues such as property division, child custody, and support. This can be a faster and less expensive route than a contested divorce. The relevant laws can be found in the New York Domestic Relations Law.