Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers

Abstract

In this paper, we study the bound-state dark/antidark solitons in the coupled mixed derivative nonlinear Schrodinger equations which govern the ultra-short pulses in birefringent optical fibers. The bound-state dark/antidark solitons exist only in the case of the bright-dark/antidark vector solitons. We graphically illustrate the periodic repulsion and attraction for the bound-state vector solitons consisting of one dark/antidark component. Effects of the cubic nonlinearity and derivative cubic nonlinearity on the depths/amplitudes, propagation directions and soliton positions of the bound states are studied. Several types of elasstic collisions between the bound-state vector soliton and one soliton are presented. In addition, the condition for the modulation instability of the plane wave solutions is given through the linear stability analysis.