Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers
Tian-Yi Wang(王天一)1, Qin Zhou(周勤)2, and Wen-Jun Liu(刘文军)1,†
1 State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2 Mathematical Modeling and Applied Computation(MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abstract With the rapid development of communication technology, optical fiber communication has become a key research area in communications. When there are two signals in the optical fiber, the transmission of them can be abstracted as a high-order coupled nonlinear Schrödinger system. In this paper, by using the Hirota's method, we construct the bilinear forms, and study the analytical solution of three solitons in the case of focusing interactions. In addition, by adjusting different wave numbers for phase control, we further discuss the influence of wave numbers on soliton transmissions. It is verified that wave numbers k11, k21, k31, k22, and k32 can control the fusion and fission of solitons. The results are beneficial to the study of all-optical switches and fiber lasers in nonlinear optics.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11875008, 12075034, 11975001, and 11975172), the Open Research Fund of State Key Laboratory of Pulsed Power Laser Technology (Grant No. SKL2018KF04), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2019XD-A09-3).
Corresponding Authors:
Wen-Jun Liu
E-mail: jungliu@bupt.edu.cn
Cite this article:
Tian-Yi Wang(王天一), Qin Zhou(周勤), and Wen-Jun Liu(刘文军) Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers 2022 Chin. Phys. B 31 020501
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