In high-speed optical communication systems,in order to improve the communication rate,the distance between pulses must be compressed,which will cause the problem of the interaction between optical pulses in optical c...In high-speed optical communication systems,in order to improve the communication rate,the distance between pulses must be compressed,which will cause the problem of the interaction between optical pulses in optical communication systems,which has been widely concerned by researches.In this paper,the bilinear method will be used to analyze the coupled high-order nonlinear Schro¨dinger equations and obtain their three-soliton solutions.Then,the influence of the relevant parameters in the three-soliton solution on the soliton inelastic interaction is studied.In addition,the constraint conditions of each parameter in the three-soliton solution are analyzed,the inelastic interaction properties of optical solitons under different parameter conditions are obtained,and the relevant laws of the inelastic interaction of solitons are studied.The results will have potential applications in the soliton control,all-optical switching and optical computing.展开更多
In this paper, the (l+l)-dimensional variable-coefficient complex Ginzburg-Landau (CGL) equation with a parity- time (PT) symmetric potential U(x) is investigated. Although the CGL equations with a PT-symmetr...In this paper, the (l+l)-dimensional variable-coefficient complex Ginzburg-Landau (CGL) equation with a parity- time (PT) symmetric potential U(x) is investigated. Although the CGL equations with a PT-symmetric potential are less reported analytically, the analytic solutions for the CGL equation are obtained with the bilinear method in this paper. Via the derived solutions, some soliton structures are presented with corresponding parameters, and the influences of them are analyzed and studied. The single-soliton structure is numerically verified, and its stability is analyzed against additive and multiplicative noises. In particular, we study the soliton dynamics under the impact of the PT-symmetric potential. Results show that the PT-symmetric potential plays an important role for obtaining soliton structures in ultrafast optics, and we can design fiber lasers and all-optical switches depending on the different amplitudes of soliton-like structures.展开更多
In optical systems,it is necessary to investigate the propagation of optical solitons in optical fiber systems for fiber-optic communications.By means of the bilinear method,we obtain the two-soliton solution of the v...In optical systems,it is necessary to investigate the propagation of optical solitons in optical fiber systems for fiber-optic communications.By means of the bilinear method,we obtain the two-soliton solution of the variable coefficient higher-order coupled nonlinear Schrodinger equation.According to the obtained two-soliton solution,a novel two-soliton interaction structure of the system is constructed,and their interactions are studied.Two optical solitons occur with elastic interaction under certain conditions,and their amplitudes,shapes and velocities remain unchanged before and after the action.In addition to the elastic interaction,splitting action and polymerization also occur.The present study on the dynamic behavior of interaction of optical solitons may be valuable for research and applications in optical communication and other fields.展开更多
基金the National Natural Science Foundation of China(Grant Nos.11875009 and 11905016).
文摘In high-speed optical communication systems,in order to improve the communication rate,the distance between pulses must be compressed,which will cause the problem of the interaction between optical pulses in optical communication systems,which has been widely concerned by researches.In this paper,the bilinear method will be used to analyze the coupled high-order nonlinear Schro¨dinger equations and obtain their three-soliton solutions.Then,the influence of the relevant parameters in the three-soliton solution on the soliton inelastic interaction is studied.In addition,the constraint conditions of each parameter in the three-soliton solution are analyzed,the inelastic interaction properties of optical solitons under different parameter conditions are obtained,and the relevant laws of the inelastic interaction of solitons are studied.The results will have potential applications in the soliton control,all-optical switching and optical computing.
基金Project supported by the National Natural Science Foundation of China(Grant No.11674036)the Beijing Youth Top-notch Talent Support Program,China(Grant No.2017000026833ZK08)the Fund of State Key Laboratory of Information Photonics and Optical Communications(Beijing University of Posts and Telecommunications)(Grant Nos.IPOC2016ZT04 and IPOC2017ZZ05)
文摘In this paper, the (l+l)-dimensional variable-coefficient complex Ginzburg-Landau (CGL) equation with a parity- time (PT) symmetric potential U(x) is investigated. Although the CGL equations with a PT-symmetric potential are less reported analytically, the analytic solutions for the CGL equation are obtained with the bilinear method in this paper. Via the derived solutions, some soliton structures are presented with corresponding parameters, and the influences of them are analyzed and studied. The single-soliton structure is numerically verified, and its stability is analyzed against additive and multiplicative noises. In particular, we study the soliton dynamics under the impact of the PT-symmetric potential. Results show that the PT-symmetric potential plays an important role for obtaining soliton structures in ultrafast optics, and we can design fiber lasers and all-optical switches depending on the different amplitudes of soliton-like structures.
基金supported by the National Natural Science Foundation of China(Grant Nos.11875009 and 11905016)。
文摘In optical systems,it is necessary to investigate the propagation of optical solitons in optical fiber systems for fiber-optic communications.By means of the bilinear method,we obtain the two-soliton solution of the variable coefficient higher-order coupled nonlinear Schrodinger equation.According to the obtained two-soliton solution,a novel two-soliton interaction structure of the system is constructed,and their interactions are studied.Two optical solitons occur with elastic interaction under certain conditions,and their amplitudes,shapes and velocities remain unchanged before and after the action.In addition to the elastic interaction,splitting action and polymerization also occur.The present study on the dynamic behavior of interaction of optical solitons may be valuable for research and applications in optical communication and other fields.