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Bright solitons for the coupled cubic-quintic non-linear Schroedinger equations

机译：耦合立方五次非线性Schroedinger方程的亮孤子

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摘要

In this paper, we investigate the coupled cubic-quintic non-linear Schrodinger equations, which describe the effects of quintic non-linearity on the ultra-short optical-pulse propagation in the non-Kerr medium. Bi-linear forms, bright one- and two-soliton solutions are obtained with Hirota method and symbolic computation. Via the asymptotic analysis, we find that the bright two solitons keep their original amplitudes, widths and velocities invariant after each collision except for the phase shifts. By virtue of the graphical analysis, head-on and overtaking collisions between the bright two solitons are presented. Bound-state soliton can also be observed with the breather-like structures.
机译：在本文中，我们研究了耦合三次三次非线性Schrodinger方程，该方程描述了三次非线性对非Ker介质中超短光脉冲传播的影响。使用Hirota方法和符号计算获得双线性形式，明亮的一孤子和二孤子解。通过渐近分析，我们发现，明亮的两个孤子在每次碰撞后除了相移之外，其原始振幅，宽度和速度都保持不变。通过图形分析，显示了明亮的两个孤子之间的正面碰撞和超车碰撞。束缚态孤子也可以通过呼吸器状结构观察到。

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  • 来源
    《Optical and quantum electronics》 |2016年第11期|491.1-491.10|共10页
  • 作者

    Xi-Yang Xie; Bo Tian; Ya Sun; Lei Liu; Yan Jiang;

  • 作者单位

    State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;

    State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;

    State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;

    State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;

    State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 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

    Coupled cubic-quintic non-linear Schroedinger equations; Non-Kerr medium; Bright soliton solutions; Soliton collision; Symbolic computation;

    机译：立方三次非线性非线性Schroedinger方程;非Ker培养基;光亮孤子解决方案;孤子碰撞;符号计算;

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