S.D. Codified Laws § 9-6-10
If an application signed by fifteen percent of the registered voters of any municipality, based upon the total number of registered voters at the last preceding general election, having less than one thousand inhabitants is presented to the governing body asking for the dissolution of the municipality, the governing body shall call a special election by giving fifty days' published notice thereof to determine whether the municipality shall be dissolved. No signature on the application is valid if signed more than six months prior to the filing of the application. If any such application is presented on or after January first prior to the annual municipal election and within sufficient time to comply with the provisions of § 9-13-14, the question shall be submitted at that annual municipal election.
The vote upon the question of dissolution shall be by ballot and cast in the manner provided by chapter 9-13.
SDCL 9-6-10