Controllable combined Peregrine soliton and Kuznetsov-Ma soliton in PT-symmetric nonlinear couplers with gain and loss
Controllable combined Peregrine soliton and Kuznetsov-Ma soliton in PT-symmetric nonlinear couplers with gain and loss
复制标题
具有增益和损耗的 PT 对称非线性耦合器中的可控组合 Peregrine 孤子和 Kuznetsov-Ma 孤子
DOI：
10.1007/s11071-015-1900-0
复制
发表时间：
2015
影响因子：
5.6
通讯作者：
Wang Yue-Yue
中科院分区：
文献类型：
--
作者：
Dai Chao-Qing;Wang Yue-Yue
研究了具有增益和损耗的宇称时间对称非线性耦合器中的（2+1）维耦合变系数非线性薛定谔方程，并利用Darboux变换方法得到了其组合结构解.当本征值的虚部小于或大于1时，我们分别得到组合的Peregrine孤子和Akhmediev呼吸子，或Kuznetsov-Ma孤子。此外，我们还研究了在具有指数分布的衍射衰减系统中，这种组合的Peregrine孤子和Kuznetsov-Ma孤子结构的可控行为。在该系统中，KM孤子的有效传输距离存在一个极大值，其最大振幅出现在周期性位置。通过调节和的关系，实现了对组合孤立子和Kuznetsov-Ma孤立子激发的抑制、维持和延迟等控制。
We investigate a (2+1)-dimensional-coupled variable coefficient nonlinear Schrödinger equation in parity time symmetric nonlinear couplers with gain and loss and analytically obtain a combined structure solution via the Darboux transformation method. When the imaginary part of the eigenvalueis smaller or bigger than 1, we can obtain the combined Peregrine soliton and Akhmediev breather, or Kuznetsov–Ma soliton, respectively. Moreover, we study the controllable behaviors of this combined Peregrine soliton and Kuznetsov–Ma soliton structure in a diffraction decreasing system with exponential profile. In this system, the effective propagation distanceexists a maximal valueand the maximum amplitude of the KM soliton appears in the periodic locations. By modulating the relation between values ofand, we realize the control for the excitation of the combined Peregrine soliton and Kuznetsov–Ma soliton, such as the restraint, maintenance, and postpone.