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oe1(光电查) - 科学论文

2 条数据
?? 中文（中国） ▾

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

    摘要： 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 Schr?dinger 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.

    关键词： Soliton transmission,Coupled nonlinear Schr?dinger equations,Horita’s method,Soliton solutions

    更新于2025-09-23 15:19:57

  • Breather waves, high-order rogue waves and their dynamics in the coupled nonlinear Schr?dinger equations with alternate signs of nonlinearities

    摘要： We consider the analytic vector breather and high-order rogue wave solutions for the coupled nonlinear Schr?dinger (NLS) equations with alternate signs of nonlinearities via Darboux dressing transformation. By adjusting spectral parameters, we indicate that the breather wave solutions contain temporally periodic nonlinear waves and spatially periodic nonlinear waves, respectively. The vector rogue wave solutions include the bright one-peak-two-valleys rogue wave and the bright rogue wave without valleys. Additionally, we successfully show different types of the distributions for the second-order vector rogue waves. The existence condition for the rogue waves is discussed. For the coupled NLS equations with alternate signs of nonlinearities, the rogue wave solutions exist if the baseband modulation instability (MI) is present.

    关键词： Darboux dressing transformation,high-order rogue waves,modulation instability,coupled nonlinear Schr?dinger equations,breather waves

    更新于2025-09-19 17:13:59