Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law

Optical soliton propagation in an inhomogeneous highly dispersive media with a dual-power nonlinearity law is studied. The variable-coefficient nonlinear Schrodinger (NLS) equation describing the propagation in such media includes space-dependent coefficients of fourth-order dispersion, cubic-quintic nonlinearity, and attenuation. By means of a solitary wave ansatz, exact bright soliton solution is found. Importantly, we have found that it is always possible to express the propagation of bright soliton pulses, for any integer value of the exponent in the power law in the form of a power of hyperbolic secant function. All physical parameters in the soliton solution are obtained as a function of the space-dependent model coefficients. Note that, it is always useful and desirable to construct exact analytical solutions for the understanding of most nonlinear physical phenomena.