The coupled space-shifted nonlocal nonlinear Schrödinger equation: Multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons

Abstract

We study the multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons of the coupled space-shifted nonlocal nonlinear Schrödinger equation. These three distinct classes of soliton waveforms are derived from multiple soliton solutions through three different long-wave limit procedures with specific restrictions of the parameters of the solutions. The multiple bright-dark double-pole soliton solutions are symmetric about the point (x02,0), where x0 is the space-shifting parameter of the coupled space-shifted nonlocal nonlinear Schrödinger equation. The space-shifting parameter x0 only affects half of the multiple bright-dark negaton-type solitons, while it has no impact on the other half. The mixed soliton solutions are composed of multiple double-pole solitons and negaton-type solitons. The unique properties of these three distinct classes of soliton waveforms are examined by performing the long-time asymptotic analysis for them.