As per the latest Supreme Court judgment which had held that a decree of divorce granted by a foreign court is not valid in India if the ground is not recognized by Indian law.
Settled position in India:
1. Ex-parte decree of Divorce granted by foreign Court will not be recognized by Indian Court.
2. Mutual Consent Divorce amongest NRIs, etc: Generally a mutual consent divorce granted by foreign Court is considered as valid, legal and binding in Indian Courts by virtue of section 13 and 14 of Code of Civil Procedure and also on account of comity of Nations. Such decree of divorce granted by foreign Courts need not to be validated in Indian Courts. However, as a matter of abundant precaution, one can approach to the Indian Court for declaring that divorce is valid and binding. Contested Divorce in foreign Court can be valid and binding depending upon on Matter is contested by both spouses in foreign Court. And Matter is uncontested in foreign Court and one spouse comes back to India
Suggestion:
Who wish to take benefit of Indian laws and legal system to avoid facing up to any foreign judicial system
In your case:
1. You got divorced recently through "service by publication" since your wife was living separately for more than a year and don't know where she is. Your wife does not move courts in India and challenging divorce granted in USA, and then it is valid up to that extent.
2. File a divorce case under Hindu marriage Act