You are probably facing a problem many Indians from regions with no "family" name structure are facing while journals (and immigration authorities) demand two names.
A common workaround is that the father's name is added. In many cases the father's name is used as the "family name", but of course that results in the scenario that your father's name would be spelled out on the author list while your own name is reduced to "D.". For that reason, e.g. the Nobel laureate C.V.Raman entered his father's name Chandrasekhara as "first name" and used his given name as a family name so that now the world knows his method as "Raman spectroscopy".
I don't know if there are any rules with respect to international passports about this, but I also don't know if that interferes with what you use on author lists.
In order to be identified properly, it is also recommendable to set up an ORCID account with the naming scheme you choose. Many publishers these days actually demand that these days, anyway, so in my last AIP publication the two coauthors without ORCID accounts received mails sounding similar to "give us your ORCID or we won't publish".
Jürgen has an impressive understanding of Indian, especially South Indian, naming customs. I do highly recommend ORCID which is becoming almost universally adopted by scientific journals and funding agencies for unambiguous identification of researchers.
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