当前位置: X-MOL 学术Int. J Comput. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre
International Journal of Computer Mathematics ( IF 1.8 ) Pub Date : 2021-04-01 , DOI: 10.1080/00207160.2021.1900568
He-Yuan Tian 1 , Bo Tian 1 , Chen-Rong Zhang 1 , Su-Su Chen 1
Affiliation  

For a coupled nonlinear Schrödinger system with the negative coherent coupling, which describes two orthogonally polarized pulses in a weakly birefringent fibre, we construct the Darboux dressing transformation and the N-th-order breather solutions with N as a positive integer. When the retarded time tends to be infinite, limits of the ratios between the N-th-order breather solutions and seed solutions are obtained. For the first-order breathers, we present the condition to distinguish the degenerate and nondegenerate cases. For the nondegenerate breathers, we analyse whether the breathers could be kink-type based on the above limits. For the second-order breathers, superregular breathers (SRBs) are derived, where each SRB could consist of two (1) kink-type, (2) single-hump or (3) double-hump quasi-Akhmediev breathers (quasi-ABs). Before and after the interaction, profiles of two quasi-ABs change for Case (1) but keep unchange for Case (2) or (3).



中文翻译:

弱双折射光纤中负相干耦合非线性薛定谔系统的 Darboux 修整变换和超规则呼吸器

对于具有负相干耦合的耦合非线性薛定谔系统,它描述了弱双折射光纤中的两个正交偏振脉冲,我们构造了 Darboux 修整变换和N阶呼吸器解,其中N为正整数。当延迟时间趋于无限时,N之间的比率的限制得到-阶呼吸解和种子解。对于一阶呼吸器,我们提出了区分退化和非退化情况的条件。对于非退化呼吸器,我们根据上述限制分析呼吸器是否可以是扭结型。对于二阶呼吸器,推导出超规则呼吸器 (SRB),其中每个 SRB 可以由两个 (1) 扭结型、(2) 单峰或 (3) 双峰准 Akhmediev 呼吸器 (quasi-ABs) 组成)。在交互之前和之后,两个准 AB 的轮廓对于情况 (1) 会发生变化,但对于情况 (2) 或 (3) 保持不变。

更新日期:2021-04-01
down
wechat
bug