The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system
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 o...
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2020-07-01
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| Series: | Journal of Advanced Research |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090123220300655 |
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doaj-e316f29b366844309cdc056dc2e6d9bd2020-11-25T03:32:37ZengElsevierJournal of Advanced Research2090-12322020-07-0124167173The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient systemXiaoyan Liu0Qin Zhou1Anjan Biswas2Abdullah Kamis Alzahrani3Wenjun Liu4State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, ChinaSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, ChinaDepartment of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA; Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Applied Mathematics, National Research Nuclear University, Kashirskoe Shosse, Moscow 115409, Russian Federation; Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South AfricaDepartment of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaState 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; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S2090123220300655Soliton transmissionHorita’s methodSoliton solutionsCoupled nonlinear Schrödinger equations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiaoyan Liu Qin Zhou Anjan Biswas Abdullah Kamis Alzahrani Wenjun Liu |
| spellingShingle |
Xiaoyan Liu Qin Zhou Anjan Biswas Abdullah Kamis Alzahrani Wenjun Liu The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system Journal of Advanced Research Soliton transmission Horita’s method Soliton solutions Coupled nonlinear Schrödinger equations |
| author_facet |
Xiaoyan Liu Qin Zhou Anjan Biswas Abdullah Kamis Alzahrani Wenjun Liu |
| author_sort |
Xiaoyan Liu |
| title |
The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system |
| title_short |
The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system |
| title_full |
The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system |
| title_fullStr |
The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system |
| title_full_unstemmed |
The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system |
| title_sort |
similarities and differences of different plane solitons controlled by (3 + 1) – dimensional coupled variable coefficient system |
| publisher |
Elsevier |
| series |
Journal of Advanced Research |
| issn |
2090-1232 |
| publishDate |
2020-07-01 |
| description |
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. |
| topic |
Soliton transmission Horita’s method Soliton solutions Coupled nonlinear Schrödinger equations |
| url |
http://www.sciencedirect.com/science/article/pii/S2090123220300655 |
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