It appears that Symphony of the Night (along with Rondo of Blood) will be making its way to the PlayStation 4 if a rating by the Entertainment Software Rating Board is to be believed. In this case, it will be part of a compilation titled Castlevania Requiem: Symphony of the Night & Rondo of Blood, arguably two of the finest entries in the entire series.
Here is the description for the game given by the ESRB:
This is collection of two action platformers in which players assume the role of a vampire hunter battling Dracula and other creatures. From a side-scrolling perspective, players traverse Dracula's castle to kill fantastical enemies (e.g., zombies, demons, minotaurs). Characters use whips, swords, axes, and magic to defeat enemies. Pixelated blood is depicted when players' character and creatures are killed; some attacks result in decapitation and dismemberment of creatures, including a boss character that loses its body parts and entrails. As players progress, they may encounter female creatures (e.g., harpies, medusa) that have exposed buttocks and are depicted topless, though there are no discernible details (i.e., no nipples).
We will be sure to update you with any information regarding Castlevania Requiem: Symphony of the Night & Rondo of Blood as it develops.