as i mentioned earlier:
You can call it something like "Jamo" JAvaMOnkey. You can build several interesting abbreviation-anagrams using Java and monkey
Jakey editor (not sure if this appropriate xd )
Or go with something entirely new...like If you want to refer to the background, you can call it Nova engine
This depends on "what exactly you want to have in the end"
Cryengine - name of crytek corporation
UnrealEditor - same story
Unity - main idea "work together on high variety of projects 2d or 3d" to unite
GIMP - abbreviation of GNU Image Manipulation Program
Blender - Personal idea of Ton
UPBGE - UP Blender Game Engine "To bring BGE to next level"
GODOT - bacause of https://en.wikipedia.org/wiki/Waiting_for_Godot (personal wish of creators)
I suggest you to follow simple rules:
Make it to be easy to read and memorize. SaBr is hard to read in some languages this name has 2 stop points in A-B transition and B-R transition. It can be easily fixed by adding additional "inbetween vowel" like Sabre (Сабля) It have strong meaning, it is easy-to-read and it consists your abbriviation and even abbriviation of engine: SA(sha)BR(ui)E(ngine)
Make it unique. Sabre - is interesting, but google search will always find wrong things. So, you should find ideas like MonSabre for MonkeySABRE, but it little bit grotesque.
Dont make it funny. You need nice and strong name with one meaning for every presentations in future.
So... there are many different possibilities.
Call it after JME and your name:
Follow the background:
Or go to something entirely new:
Jset - java set