Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation

Abstract

The application of fractional partial differential equations in the area of nonlinear optics has greatly facilitated the development of optical fiber communication. The primary objective of this article is to analyze the dynamic behavior of generalized nonlinear fractional Tzitzéica-type equation and obtain its optical soliton solutions. Using the planar dynamic system, phase portraits of the system are studied from a qualitative perspective, and then the polynomial complete discrimination method is utilized to obtain various optical soliton solutions of the equation. Furthermore, the relevant characteristics are examined through digital simulation and image analysis.

Keywords

• Fractional derivative
• Planar dynamic system
• Bifurcation
• Optical soliton solution