git shelve
doesn't exist in Git.
Only git stash
:
You had a 2008 old project git shelve to isolate modifications in a branch, but that wouldn't be very useful nowadays.
As documented in Intellij IDEA shelve dialog, the feature "shelving and unshelving" is not linked to a VCS (Version Control System tool) but to the IDE itself, to temporarily storing pending changes you have not committed yet in changelist.
Note that since Git 2.13 (Q2 2017), you now can stash individual files too.