Chaotic behavior and optical soliton for the concatenated model arising in optical communication

Abstract

This study thoroughly analyzes the concatenated model in the field of optical communication. The chaotic behavior of the system is examined using a periodically perturbed system, which incorporates time series analysis, Poincaré sections, and bifurcation diagrams. The study constructs periodic solutions, solitary wave solutions, and kink wave solutions by integrating along the level curves of the Hamiltonian system. Additionally, singular periodic solutions and Jacobian elliptic functions are derived to gain further insight into the dynamics of the model. The significance of this study is emphasized through a comparative analysis with existing literature, highlighting the novelty of the findings in understanding the dynamics of concatenated models. The result has theoretical and practical significance for deepening the study of wave propagation in the field of optical communication.