The Unified Process (UP)
is a popular iterative and incremental software development process framework that has many variations and refinements. UP variations include, but are not limited to the Open Unified Process (Open UP; open source), the Rational Unified Process (RUP; commercial), and the Rational Unified Process-System Engineering
(RUP-SE; commercial). Although RUP-SE is the UP variation that purports to be tailored for System Engineering applications, a Google search for RUP-SE work artifacts indicates that it is not undergoing active development and it has not yet been updated to support SysML work artifacts. Consequently, your MBSE team may be better off customizing another UP variant (e.g., OpenUP) for your team and project needs.