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

Xiaoyan Liu; Qin Zhou; Anjan Biswas; Abdullah Kamis Alzahrani; Wenjun Liu

doi:10.1016/j.jare.2020.04.003

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

J Adv Res. 2020 Apr 13:24:167-173. doi: 10.1016/j.jare.2020.04.003. eCollection 2020 Jul.

Authors

Xiaoyan Liu¹, Qin Zhou², Anjan Biswas^{3

4

5

6}, Abdullah Kamis Alzahrani⁴, Wenjun Liu¹

Affiliations

¹ State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China.
² School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, China.
³ Department of Physics, Chemistry and Mathematics, Alabama A\&M University, Normal, AL 35762-7500, USA.
⁴ Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
⁵ Department of Applied Mathematics, National Research Nuclear University, Kashirskoe Shosse, Moscow 115409, Russian Federation.
⁶ Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa.

Abstract

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.

Keywords: Coupled nonlinear Schrödinger equations; Horita’s method; Soliton solutions; Soliton transmission.