Abstract
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In this paper, we apply two methods which are the arbitrary nonlinear parameters and the exponential rational function method to construct many new exact solutions of the higher-order nonlinear partial differential equations, namely, the higher-order nonlinear Schrödinger (HNLS) equation. The solutions obtained by the current methods are generalized periodic solutions. The shape of the solutions can be well controlled by adjusting the parameters of the system. Optical soliton solutions obtained can be used to transport information in the telecommunication domain. It also comes from this work that the behavior of this HNLS equation may be easily studied by means of the phase plane plot which is the best tool to predict some solutions.