This name is a synonym of Areca novohibernica (Lauterb.) Becc..
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 469095) with original publication details: Index Kew Suppl. 10: 19 1947.
This name record (from WCSP) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Areca salomonensis in version 1 of The Plant List.