For openSUSE Tumbleweed run the following as root:
zypper addrepo https://download.opensuse.org/repositories/home:ikeydoherty:solus-project/openSUSE_Tumbleweed/home:ikeydoherty:solus-project.repo
zypper refresh
zypper install budgie-desktop
For openSUSE Leap 42.2 run the following as root:
zypper addrepo https://download.opensuse.org/repositories/home:ikeydoherty:solus-project/openSUSE_Leap_42.2/home:ikeydoherty:solus-project.repo
zypper refresh
zypper install budgie-desktop
For openSUSE Leap 42.1 run the following as root:
zypper addrepo https://download.opensuse.org/repositories/home:ikeydoherty:solus-project/openSUSE_Leap_42.1/home:ikeydoherty:solus-project.repo
zypper refresh
zypper install budgie-desktop