Analytical soliton solutions for the generalized Schrödinger’s equation in optical fiber communication systems

Abstract

This paper presents a comprehensive investigation of the generalized Schrödinger’s equation through the utilization of an efficient analytical method, enabling the derivation of a wide range of exact solutions. The novelty of this research lies in the development of a novel approach that combines simplicity and power to produce diverse categories of solutions within a unified framework. By employing this innovative methodology, the study contributes new insights into the properties of the model, expanding upon the existing literature. Additionally, the effectiveness of the proposed method is demonstrated through the presentation of graphical representations that enhance the understanding of the dynamic characteristics of the obtained results. Furthermore, the significance of this research extends beyond its theoretical contributions. The findings of this study have practical implications in various fields, including fluid mechanics, nonlinear optics, and plasma physics. The ability to determine soliton solutions for other partial equations using this methodology opens up opportunities for further advancements in these domains. Moreover, the presented results provide valuable insights into the behavior and properties of systems governed by generalized Schrödinger’s equation, offering potential applications in diverse areas of science and engineering.

Keywords

• Analytical solutions
• Nonlinear system
• Optical fiber communication systems
• Symbolic forms