This is has been asked before. Yes you can file an I-751 without her. You will need to show a good faith marriage that ended in divorce or that you experienced extreme cruelty or that you were battered. Whether or not you need a reason for divorce depends on your state and whether it requires a fault grounds to issue a divorce.
You have to be honest and not commit fraud. the rest you will figure out on a consultation with an immigration attorney.
The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter,not should it be viewed as establishing an attorney client relationship of any kind.
Those who divorce during the 2 yr conditional period can file with a waiver of the joint filing requirement. Bona fides after the issuance of the gc are important. Docs on reasons for divorce are also important.
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