follow in (someone's) wake

Translations
идти по следам (досл. следовать за кем-то на волне)
Many young musicians try to follow in the wake of famous rock stars.
Многие молодые музыканты стараются идти по следам знаменитых рок-звёзд.
Definitions
To follow closely behind someone, often by imitating their actions, pursuing a similar path, or being affected by their influence or consequences of their actions.
Words
wake

noun
след
follow

verb
следовать
follow in

verb
следовать