Just as general information Imabi has a section on this on this page about ～ていく & ～てくる:
https://www.imabi.net/teikutekuru.htm
～ていく → ゆく
～ゆく may seldom follow the stem of verbs in a poetic fashion. This is in fact the original form the pattern took, which is why it is deemed poetic/nostalgic. ～てゆく also exists, which is quite nostalgic and is very common in songs and literature.
大事な思い出も記憶から消え（て）ゆくのであろう。
Even important memories will slip from your memory.花燃えゆく。
Flowers, burn away.死にゆく。
To be dying.