The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system

• Main Authors: Xiaoyan Liu, Qin Zhou, Anjan Biswas, Abdullah Kamis Alzahrani, Wenjun Liu
• Format: Article
• Language: English
• Published: Elsevier 2020-07-01
• Series: Journal of Advanced Research
• Subjects: Soliton transmission; Horita’s method; Soliton solutions; Coupled nonlinear Schrödinger equations
• Online Access: http://www.sciencedirect.com/science/article/pii/S2090123220300655
• ISSN: 2090-1232

In this paper, a system with controllable parameters for describing the evolution of polarization modes in nonlinear fibers is studied. Using the Horita’s method, the coupled nonlinear Schrödinger equations are transformed into the bilinear equations, and the one- and two- bright soliton solutions of system (3) are obtained. Then, the influencing factors on velocity and intensity in the process of soliton transmission are analyzed. The fusion, splitting and deformation of the solitons caused by their interactions are discussed. Finally, a method for adjusting the inconsistencies of sine-wave soliton transmission is given. The conclusions of this paper may be helpful for the related research of wavelength division multiplexing systems.