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Symbolic computation on soliton solutions for variable-coefficient nonlinear Schroedinger equation in nonlinear optics

机译：非线性光学中变系数非线性Schroedinger方程孤子解的符号计算

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摘要

Soliton interaction and control using the dispersion-decreasing fibers with potential applications to the design of high-speed optical devices and ultralarge capacity transmission systems are investigated based on solving the variable-coefficient nonlinear Schrodinger equation with symbolic computation. Via the Hirota method, analytic two- and three-soliton solutions for that model are obtained, with their relevant properties and features illustrated. Dispersion-decreasing fibers with different profiles are found to be able to control the soliton velocity. Additionally, through the asymptotic analysis for the two-soliton solutions, we point out that the interaction between two solitons is elastic. Finally, a new approach to con-troll the soliton interaction using the dispersion-decreasing fiber with the Gaussian profile is suggested.
机译：基于符号化求解变系数非线性薛定inger方程，研究了利用色散减小光纤的孤子相互作用和控制在高速光学器件和超大容量传输系统设计中的潜在应用。通过Hirota方法，获得了该模型的解析两孤子解和三孤子解，并说明了它们的相关特性和特征。发现具有不同分布的减小色散的光纤能够控制孤子速度。另外，通过对两个孤子解的渐近分析，我们指出两个孤子之间的相互作用是弹性的。最后，提出了一种使用具有高斯分布的色散减小光纤来控制孤子相互作用的新方法。

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  • 来源
    《Optical and quantum electronics》 |2012年第15期|p.147-162|共16页
  • 作者

    Wen-Jun Liu; Bo Tian;

  • 作者单位

    State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China,School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122,Beijing 100876, China;

    State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China,School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122,Beijing 100876, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    soliton interaction; soliton control; variable-coefficient nonlinear schrodinger equation; symboelic computation;

    机译：孤子相互作用;孤子控制;变系数非线性薛定inger方程;符号计算;

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