Controllable molecule waves in the femtosecond regime

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. Copyright (C) 2022 EPLA

Automated summary

We investigate the nonautonomous molecule waves of the inhomogeneous Hirota equation describing the propagation of femtosecond pulses in inhomogeneous fibers. The breather molecules of the equation under different cases of dispersion and nonlinearmodulation are obtained using the characteristic line analysis. We find that the inhomogeneous coefficients have influences on the distance between constituent pulses, and reveal that there is no full-transition mode for the inhomogeneous Hirota equation.