广义耦合非线性薛定谔方程的4-暗孤子解  

Four-dark Soliton Solution of the Coupled Nonlinear Schrodinger Equation

作　　者：宋丽军[1] 徐晓雅 SONG Li-jun;XU Xiao-ya(School of Physics&Electronics Engineering,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2020年第2期172-179,共8页Journal of Quantum Optics

基　　金：山西省自然科学基金(201801D121119)。

摘　　要：基于包含四波混频效应的耦合非线性薛定谔方程,采用Hirota双线性方法得到了其4-暗孤子解,并数值研究了其传输特性。结果表明:通过调控参数,可以分别获得4-暗孤子、3-暗孤子及暗孤子-反暗孤子组合,但孤子间的相互作用依然是弹性碰撞。Based on the coupled nonlinear Schrodinger equation with the four wave mixing effect,the fourdark soliton solution is obtained by using the Hirota bilinear method.And the transmission characteristics are analyzed numerically.The results show that we can obtain 4-dark soliton,3-dark soliton and dark-antidark soliton combination by adjusting the parameters.But the interactions between solitons are still elastic.

关 键 词：耦合非线性薛定谔方程 4-暗孤子解 四波混频效应 

分 类 号：O469[理学—凝聚态物理]