Solitons and rogue wave solutions of focusing and defocusing space shifted nonlocal nonlinear Schrodinger equation

In this paper, we are concerned with the explicit analytic solutions for the focusing and defocusing space shifted nonlocal nonlinear Schrodinger (NLS) equation introduced by Ablowitz and Musski-mani (Phys Lett A 409:127516, 2021). The nonsingular N-soliton solutions of the defocusing space shifted nonlocal NLS equation are obtained, while the multirogue wave solutions are constructed for focusing space shifted nonlocal NLS equation by Darboux transformation. The asymptotic analysis of the soliton solutions is investigated theoretically and numerically. The dynamic features of first-, second-order RW solutions are analysed explicitly. It shows that the space shift x(0) reveals more general dynamic behaviors in the space shifted nonlocal NLS equation.

Automated summary

This paper focuses on the explicit analytic solutions for the focusing and defocusing space shifted nonlocal nonlinear Schrodinger equation. The authors obtained the nonsingular N-soliton solutions for the defocusing case and constructed multirogue wave solutions for the focusing case using Darboux transformation. The dynamic behaviors of the solutions were studied theoretically and numerically, and it was found that the space shift parameter reveals more general dynamic characteristics in the space shifted nonlocal NLS equation.