A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients

In the paper, the generalized cubic-quintic nonlinear Schrödinger with variable coefficients is considered and the exact bright and dark quasi-soliton solutions are presented by ansatz method under certain parametric conditions. As an example, we investigate a soliton control system, and the results show that the soliton control system may relax the limitations to parametric conditions. Also, the stability of the solution is discussed in detail numerically. Finally, the interaction between two quasi-solitons is investigated, and the results reveal that the combined effects of intentional controlling both the group velocity dispersion distribution, the nonlinearity distribution, and higher-order nonlinearity distribution, or special dispersion management may restrict the interaction between the neighboring quasi-solitons.