I would first inquire if your institution has an intellectual property policy. Knowing this is fundamental irrespective if it is your personal effort or institutional. If it is your personal effort then make sure you have enough documentation to back up your claim of independent research. If it is institutional, the see if there is a technology transfer office that will have procedures on obtaining the patent and be prepared to submit the documentation to them. The technology transfer office will most likely have an intellectual property lawyer to which they send the submission.
Although there is some room for change in national legislation, patent rules are drawn from an international treaty (TRIPS - Agreement on Trade-Related Aspects of Intellectual Property Rights) and - in Brazil, for example - it is not possible to patent an idea. Products and processes resulting from ideals are, as a rule, patentable, but the idea (itself) does not enjoy such a prerogative of protection via intellectual property rights. Depending on the case, registering the brand invented to market the idea is the best way forward. In any case, even though India's intellectual property rights registration system allows for the "ownership" of the invention, it is most advisable to seek the assistance of a specialized lawyer.
The Patents Act, 1970 is the main legislation about intellectual property of India. The Chapter II of this Act prohibits patenting ideas, as can be seen from the fact that the law provides that they aren't patentable "the mere discovery of a scientific principle or the formulation of an abstract theory (...)".