  In their interesting article (Physical Review A, Vol. 101, 023843 (2020))
Conforti et al. present doubly periodic (elliptic) solutions of the nonlinear
Schr\"odinger equation, based on an earlier article by Akhmediev et.al.
(Theoretical and Mathematical Physics, Vol. 72, 809 (1987)). We present some
notes with respect to correctness, completeness, and representation of the
solutions obtained.
