These are both mental (as in psychic) and physical martial arts made on Krypton, currently the only two martial disciplines we have any info on from Superman's home world.
One deals most specifically with building psionic control to the point of illusion casting, astral projection, mental construct conjuration and psychic battling.
The other a physical-based martial art that teaches strikes, forms and counters, but also develops control the brain itself to push the practitioner into a Theta Wave state where they are open to instantaneous reaction, intuition, instinct and can even control their autonomic system.
I've not been able to find a lot of instances of their combat applied use, though; was wondering if anyone had further information?
Are there any scans showing the forms being used in combat?