State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Phys Rev E. 2018 May;97(5-1):052217. doi: 10.1103/PhysRevE.97.052217.
In this paper, we investigate the coupled Sasa-Satsuma equations, which describe the simultaneous propagation of two ultrashort pulses in the birefringent or two-mode fiber with the third-order dispersion, self-steepening, and stimulated Raman scattering effects. Darboux-dressing transformation is applied to obtain the dark-bright soliton and semirational rogue-wave solutions. Dark-bright one solitons with the single-hump, double-hump, and even breather-like structures are presented. Interactions between the double-peak breather and different kinds of dark-bright solitons are studied. We show that the double-peak (or single-peak) rogue wave can coexist and interact with different kinds of dark-bright solitons. Coexistence of the solitons with different velocities and rogue waves is also found. Numerical stabilities of the dark-bright solitons and semirational rogue waves are exhibited. It is expected that those localized wave phenomena can be experimentally observed and have potential applications.
在本文中，我们研究了耦合的 Sasasatuma 方程，该方程描述了双折射或双模光纤中两个超短脉冲的同时传播，同时考虑了三阶色散、自陡和受激拉曼散射效应。我们应用达布- dressing 变换得到了暗亮孤子和半有理不规则波解。给出了具有单峰、双峰甚至呼吸子结构的暗亮孤子。研究了双峰呼吸子与不同类型的暗亮孤子之间的相互作用。我们表明，双峰（或单峰）不规则波可以与不同类型的暗亮孤子共存和相互作用。还发现了具有不同速度的孤子和不规则波的共存。展示了暗亮孤子和半有理不规则波的数值稳定性。预计这些局域波现象可以通过实验观察到，并具有潜在的应用价值。
