Novel rogue waves and dynamics in the integrable pair-transition-coupled nonlinear Schrödinger equation

Abstract

Under investigation in this work is the integrable pair-transition-coupled nonlinear Schrödinger equation, which is an important integrable system. Through the Darboux-dressing transformation, we derive a family of rational solutions describing the extreme events (i.e., rogue waves). This family of solutions contains famous vector rogue waves, bright- and dark-rogue waves, and novel vector unusual freak waves. Moreover, the dynamic behaviors of the rational solutions are discussed with some graphics.