Optical solitons perturbation for the concatenation system with power law nonlinearity

The concatenation system is a classical model which has been wildly applied in nonlinear science. By using the second-order and triple-order polynomial complete discriminant system technique, a range of new optical soliton solutions of the concatenation system with power law nonlinearity are derived, which include singular solitons, bright solitons, dark solitons, anti-kink solitary-wave solutions, chirped bright soliton-like solution, Jacobian elliptic function solutions, implicit analytical solutions and solitary wave solutions. Moreover, numerical simulations are also presented to visualize the mechanism of the concatenation system by selecting some suitable parameters. Finally, two-dimension and three-dimension diagrams are drawn, which may help researcher to understand mechanisms of dynamical behaviors and complex physical phenomena of the optical soliton solutions.