Controllable molecule waves in the femtosecond regime

Abstract

We investigate the nonautonomous molecule waves of the inhomogeneous Hirota equation describing the propagation of femtosecond pulses in inhomogeneous fibers. By employing the characteristic line analysis, the breather molecules of the inhomogeneous Hirota equation under different cases of dispersion and nonlinear modulation are obtained. We find that the inhomogeneous coefficients d 2(z) and d 3(z) have influences on the distance between constituent pulses. In addition, we introduce the state transitions to the nonautonomous breather molecules and reveal that there is no full-transition mode for the inhomogeneous Hirota equation.