Abstract
This work mainly concerned with the optical solitons and other traveling wave solutions for the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms. With the assistance of the second-order and triple-order polynomial complete discriminant system method, we construct a series of optical soliton solutions which include bright soliton solutions, singular soliton solutions, dark soliton solutions, periodic solutions, kink solitary wave solutions, anti-kink solitary wave solutions and some other traveling wave solutions. What is more, numerical simulations are also given to visualize the mechanism of the higher-order nonlinear Schrödinger system by selecting some suitable parameters of optical soliton solutions. Finally, we give the comparison between the obtained works in this paper and other’s results.
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