It is one of the more poignant might-have-beens in music, that Shostakovich never set the words of Akhmatova (though he did pay tribute to her, by setting a poem about her, in the Tsvetayeva cycle).
Prokofiev set five early poems of Akhmatova in 1916, for his Opus 27, which is to say, from a period when neither had yet had occasion to run afoul of the cultural upheavals which would characterize the Soviet Union in after years.
Prokofiev’s songs are charmingly simple in presentation, delightful in their accompaniment. Alas, the set is brief enough, that it simply makes the listener eager for more.