On the study of optical soliton solutions to the three-component coupled nonlinear Schrödinger equation: applications in fiber optics

• Published in: Optical and quantum electronics 2023, Vol.55 (1), Article 72
• Main Authors: Younas, Usman, Sulaiman, T. A., Ren, Jingli
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Complex systems; Computer Communication Networks; Electrical Engineering; Exact solutions; Fiber optics; Lasers; Nonlinear differential equations; Optical Devices; Optics; Partial differential equations; Photonics; Physics; Physics and Astronomy; Schrodinger equation; Solitary waves; System effectiveness
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-022-04254-x

In this article, we have discussed the three-component coupled nonlinear Schrodinger equation which governs the optical solitons in fiber optics. There has been an increasing interest in studying multi-component NLSE equations because they can be utilized to explain a wide range of complicated physical phenomena and have more dynamical structures of localized wave solutions. A recently developed integration tool, namely new extended direct algebraic method is used to secure solution. The optical solitons in different kinds like, dark, singular, bright-dark, complex and combined solitons are extracted. Moreover, hyperbolic type, and periodic solutions are secured. The applied technique is good to explain nonlinear partial differential equations because it provides previously extracted solutions and also extracts new exact solutions by combining the results of multiple procedures. In addition to discussing the physical representation of some solutions, we also plot 3D, 2D and contour graphs using the appropriate parameter values. On the basis of a comparison between our results and those that are well-known, the study concludes that our solutions are novel. This paper’s findings can enhance the nonlinear dynamical behavior of a given system and demonstrate the effectiveness of the employed methodology. This research will be beneficial to a large number of engineering model specialists, in our opinion. Results indicate that the computational method used is effective, direct, concise, and can be applied to complex systems.