Management of soliton pulse speed in inhomogeneous optical waveguides with dual-power law refractive index

We demonstrate the control of the soliton wave speed in an inhomogeneous optical waveguide with dual-power law refractive index through the temporal variations of the system parameters. Such controling process is analyzed within the framework of the nonlinear Schrödinger equation with time-dependent second-order dispersion and two power-law nonlinearitities. The model applies to the description of ultrashort pulse propagation in an optical medium with temporally modulated dispersion and dual-power law nonlinearity. We find that while the wave speed of bright and kink soliton structures can be modified in accordance with the temporally modulated waveguide parameters, their amplitude and width keep invariant during the propagation. Interestingly, the results show that the soliton pulses can be stopped, slowed, reversed, and accelerated through suitable variation of the time varying dispersion parameter.