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

TL;DR

This paper critiques recent claims about soliton solutions of a nonlocal nonlinear Schrödinger equation, reaffirming the correctness and generality of earlier solutions and clarifying misconceptions.

Contribution

It clarifies misconceptions in recent literature and defends the validity and generality of previously derived soliton solutions for the reverse space nonlocal nonlinear Schrödinger equation.

Findings

Previous solutions are correct and more general.

Recent claims contain misconceptions and inaccuracies.

The earlier solutions encompass those proposed by others as special cases.

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.