Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation

Abstract

In this paper, general higher-order freak wave solutions of the nonlocal nonlinear Schrödinger equation (NLSE) with parity-time symmetric can be calculated theoretically via a Darboux transformation and a separation of variable technique. This family of solutions are given in separation of variables form. Moreover, in order to understand these obtained solutions better, the main characteristics of two lowest freak wave solutions are discussed clearly and conveniently. They show that the dynamics of these solutions exhibits rich patterns, most of which have no counterparts in the corresponding local equation.