Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation

Abstract

Multiple bright soliton solutions in determinant form for a focusing nonlocal nonlinear Schrödinger (NLS) equation are derived via the bilinear method and the KP hierarchy reduction. It is shown that only multi-soliton solutions with even numbers are allowed and each paired soliton exhibits the head-on collision with the same velocity in the interaction process. One paired soliton describes the different collision patterns including the centering-hump, the centering-valley, and the spatial interference as well as a degenerate soliton with position shifts. Higher-order soliton solutions depict the interactions among different types of the paired soliton, in which a reduced four-soliton solution exhibits an interesting breathing soliton with position shifts.