PT对称饱和非线性光波导中孤子对称破缺的研究
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摘要:
基于PT对称的饱和非线性波导模型,研究PT对称孤子的对称破缺现象.通过分析定态解的存在性,发现了PT对称的基态孤子和高阶孤子.当孤子功率增加,系统将会出现不对称形式的孤子.利用线性稳定性分析的方法研究了PT对称和不对称孤子的稳定性,结果发现PT对称的基态孤子的不稳定性诱发了孤子包络的对称性破缺,进而产生了不对称孤子.最后,研究了不同稳定性条件下孤子的动力学演化特性,并发现越过对称破缺点后PT对称的基态孤子具有振荡不稳定性,而PT对称的高阶孤子和不对称孤子具有一定的鲁棒性.
Based on PT-symmetric saturable nonlinear waveguide model,we study the phenomenon of symmetry breaking.The existence of stationary solutions are analyzed.It is found that there exist the PT-symmetric fundamental soliton and high-order soliton.When the soliton power increases,solitons with asymmetric profiles appear in the system.Then,stabilities of PT-symmetric and asymmetric solitons are investigated by using the method of linear stability analysis,the results indicate that the symmetry breaking of solitons are triggered by the instability of PT-symmetric fundamental soliton,and this leads to asymmetric solitons in the system.Finally,we study the dynamical properties with different stabilities.It is found that PTsymmetric fundamental solitons are unstable with oscillatory amplitudes when the soliton power exceeds the symmetry breaking point.However,the corresponding PT-symmetric high-order solitons as well as asymmetric solitons are robust.
作者:
高亚琴 李鹏飞
Gao Yaqin;Li Pengfei(College of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China;Department of Physics,Taiyuan Normal University,Taiyuan 030031,China)
机构地区:
太原科技大学应用科学学院 太原师范学院物理系
出处:
《betway官方app 学报：自然科学版》 CAS 北大核心 2018年第4期35-42,共8页
基金:
国家自然科学基金(11747063) 太原科技大学博士人才项目(20152043)
关键词:
PT对称性 饱和非线性 孤子 对称破缺
PT-symmetry sat urable nonlinearity soliton symmetry breaking
分类号:
O437.5 [机械工程—光学工程] TN818 [电子电信—信息与通信工程]
