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Effective Control of Three Soliton Interactions for the High-Order Nonlinear Schrödinger Equation

Yanli 延立 Yao 姚, Houhui 厚会 Yi 伊, Xin 鑫 Zhang 张, Guoli 国利 Ma 马

2023Chinese Physics Letters11 citationsDOIOpen Access PDF

Abstract

We take the higher-order nonlinear Schrödinger equation as a mathematical model and employ the bilinear method to analytically study the evolution characteristics of femtosecond solitons in optical fibers under higher-order nonlinear effects and higher-order dispersion effects. The results show that the effects have a significant impact on the amplitude and interaction characteristics of optical solitons. The larger the higher-order nonlinear coefficient, the more intense the interaction between optical solitons, and the more unstable the transmission. At the same time, we discuss the influence of other free parameters on third-order soliton interactions. Effectively regulate the interaction of three optical solitons by controlling relevant parameters. These studies will lay a theoretical foundation for experiments and further practicality of optical soliton communications.

Topics & Concepts

SolitonPhysicsNonlinear systemNonlinear Schrödinger equationFemtosecondDispersion (optics)Bilinear interpolationAmplitudeOrder (exchange)Bilinear formQuantum electrodynamicsQuantum mechanicsMathematical analysisLaserMathematicsStatisticsEconomicsFinanceAdvanced Fiber Laser TechnologiesNonlinear Photonic SystemsPhotonic Crystal and Fiber Optics