Optical wave propagation for the resonant nonlinear Schrödinger equation with arbitrary refractive index in optical fiber

Abstract

In this paper, we study the resonant nonlinear Schrödinger equation which describes the propagation of optical solitons in optical fibers. Through the trial equation method and the complete discrimination system for polynomial we obtain abundant optical wave propagation patterns for the model and divide them into three categories. Besides, we analyze the topological stability of these patterns. Ultimately, we give physical representations of optical wave patterns and draw some figures to show their temporal-space structures.