当前位置: X-MOL 学术Appl. Math. Lett. › 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.)
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-12-04 , DOI: 10.1016/j.aml.2020.106936
Meng Wang , Bo Tian , Cong-Cong Hu , Shao-Hua Liu

The optical fiber communication system is one of the components of the supporting system in the modern Internet fields. Under investigation in this paper is a coupled fourth-order nonlinear Schrödinger system, which describes the ultrashort optical pluses in a birefringent optical fiber. By virtue of the existing Lax pair, generalized Darboux transformation, two- and three-soliton solutions are derived. Based on such solutions, we graphically display (1) the elastic interactions between/among the two/three solitons on a zero-intensity background, where amplitudes of the solitons remain unchanged; (2) the inelastic interactions between/among the two/three solitons, where amplitudes of the solitons change; (3) the bound states among the three solitons.



中文翻译:

双折射光纤中耦合四阶非线性Schrödinger系统的广义Darboux变换,孤子相互作用和束缚态

光纤通信系统是现代互联网领域中支持系统的组成部分之一。本文正在研究的是耦合的四阶非线性Schrödinger系统,该系统描述了双折射光纤中的超短光学脉冲。借助于现有的Lax对,广义Darboux变换,导出了二孤子解和三孤子解。基于这样的解决方案,我们以图形方式显示(1)在零强度背景下,两个/三个孤子之间/之中的弹性相互作用,其中孤子的振幅保持不变;(2)两个/三个孤子之间/之中的非弹性相互作用,其中孤子的振幅发生变化;(3)三个孤子之间的束缚态。

更新日期:2020-12-04
down
wechat
bug