Under Muslim Personal Law in India, your proposed marriage as a second wife to a Muslim man is permissible, provided he fulfills the Quranic conditions of treating all co-wives justly. Since the Special Marriage Act (SMA) mandates monogamy and explicitly voids any marriage during the subsistence of a prior one, you correctly cannot and should not use that process. To register your marriage, you must utilize the framework applicable to Muslims. This is typically done under the state's specific legislation for the registration of Muslim marriages, as the central law (The Muslim Personal Law (Shariat) Application Act) governs validity but does not provide a uniform registration mechanism. You need to check the rules in the state where the marriage is solemnized; many states have laws like the Karnataka Muslim Marriages Registration Act or similar provisions. The process involves a Qazi (Kazi) or the local marriage registrar for Muslims. The marriage should be solemnized and documented through a Nikahnama (marriage contract), which is the primary evidence. This signed Nikahnama, along with required affidavits, proof of identity, age, and possibly a declaration from the husband regarding his existing marriage, can then be submitted for official registration. This registered Nikahnama serves as your legal marriage certificate under Indian law.