Liu Lei, Tian Bo, Xie Xi-Yang, Guan Yue-Yang
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Chaos. 2017 Jan;27(1):013108. doi: 10.1063/1.4972114.
Studied in this paper are the vector bright solitons of the coupled higher-order nonlinear Schrödinger system, which describes the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber. With the help of auxiliary functions, we obtain the bilinear forms and construct the vector bright one- and two-soliton solutions via the Hirota method and symbolic computation. Two types of vector solitons are derived. Single-hump, double-hump, and flat-top solitons are displayed. Elastic and inelastic interactions between the Type-I solitons, between the Type-II solitons, and between the two combined types of the solitons are revealed, respectively. Especially, from the interaction between a Type-I soliton and a Type-II soliton, we see that the Type-II soliton exhibits the oscillation periodically before such an interaction and becomes the double-hump soliton after the interaction, which is different from the previously reported.
本文研究了耦合高阶非线性薛定谔系统的矢量亮孤子，该系统描述了两个超短脉冲在双折射光纤或双模光纤中的同时传播。借助辅助函数，我们得到了双线性形式，并通过广田方法和符号计算构造了矢量亮单孤子和双孤子解。推导了两种类型的矢量孤子。展示了单峰、双峰和平顶孤子。分别揭示了I型孤子之间、II型孤子之间以及两种组合类型孤子之间的弹性和非弹性相互作用。特别是，从I型孤子和II型孤子之间的相互作用中，我们看到II型孤子在这种相互作用之前周期性地表现出振荡，而在相互作用之后变成双峰孤子，这与先前报道的不同。
