A critique on the soliton solutions of $\cal{PT}$-invariant reverse space nonlocal nonlinear Schr\"{o}dinger equation

Abstract

We point out certain basic misconceptions and incorrect statements given by G\"{u}rses and Pekcan in the recent paper {\bf J. Math. Phys. 59, 051501 (2018)}. We re-emphasize the soliton solution derived by us earlier in {\bf Phys. Lett. A. 381, 2380 (2017)} for the reverse space nonlocal nonlinear Schr\"{o}dinger equation is correct and more general and contains the solutions given by G\"{u}rses and Pekcan as special cases.