Dark-managed solitons in inhomogeneous cubic-quintic-septimal nonlinear media

We investigate the inhomogeneous higher-order nonlinear Schrodinger (INHLS) equation including cubic-quintic-septic (CQS) nonlinear terms and gain or loss with variable coefficients. The exact analytic solution that describes dark soliton-type pulse propagation is found for the model by employing the ansatz method. Unlike the traditional tanh dark soliton in Kerr-type media, the functional form of this novel dark-managed soliton structure takes a sech(2/3) profile. Parametric conditions are presented in which these optical solitons exist. We also investigated the stability of these dark-managed solitons under some initial perturbations by employing the numerical simulation methods. Finally, the interaction dynamics of two and three dark-managed solitons has been numerically explored.

Automated summary

The study focuses on the inhomogeneous higher-order nonlinear Schrodinger equation, investigating the dark soliton-type pulse propagation with cubic-quintic-septic nonlinear terms and gain or loss with variable coefficients. A novel dark-managed soliton structure with a sech(2/3) profile is found, different from traditional tanh dark solitons in Kerr-type media. The stability of these solitons under initial perturbations is also explored, along with numerical investigations on the interaction dynamics of two and three dark-managed solitons.