The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation

This letter focuses on the constructions and dynamics of multiple double-pole soliton solutions and multiple negaton-type soliton solutions of the space-shifted nonlocal nonlinear Schrödinger equation. These solutions are derived from multiple bright soliton solutions through long-wave limits with specific parameter restrictions, and their explicit expressions are presented in determinants with matrix elements expressed as simple algebraic forms. The waveforms of multiple double-pole solitons are symmetric about their intersection point. The negaton-type solitons are partly influenced by the space-shifting parameter x0 included in the space-shifted nonlocal nonlinear Schrödinger equation. The dynamics of these two types of solitons are studied analytically and exhibited graphically.