Eastern Desert vs Arabian Desert

Eastern Desert and Arabian Desert both are nouns.

Word	Noun	Adjective	Verb	Adverb
Eastern Desert	Yes	No	No	No
Arabian Desert	Yes	No	No	No

As nouns, Eastern Desert and Arabian Desert are synonyms defined as:

Eastern Desert and Arabian Desert: a desert in Egypt between the Nile River and the Red Sea

Eastern Desert (noun)	Arabian Desert (noun)
a desert in Egypt between the Nile River and the Red Sea	a desert on the Arabian Peninsula in southwestern Asia
	a desert in Egypt between the Nile River and the Red Sea