Interactions of vector anti-dark solitons for the coupled nonlinear Schrödinger equation in inhomogeneous fibers

We investigate the interactions of vector anti-dark solitons for variable coefficients coupled nonlinear Schrödinger equation, which governs the propagation mechanisms of electromagnetic waves in inhomogeneous birefringent fibers. Based on the Hirota method, various interactions in the inhomogeneous system are studied analytically. The double-S structure interactions are presented in this paper for the first time. The influences of relevant parameters on S-shape solitons are discussed. Periodical transmitting anti-dark solitons are presented by analyzing the effects on their amplitude, phase and intensity, respectively. Results in this paper may be potential applications for designing the birefringence managed switching and dark soliton fiber lasers.