PT-symmetric and -antisymmetric superposed breathers in (31)-dimensional inhomogeneous nonlinear couplers with balanced gain and loss

PT-symmetric and -antisymmetric superposed breathers in (31)-dimensional inhomogeneous nonlinear couplers with balanced gain and loss
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DOI:
10.1007/s11071-016-2863-5
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发表时间:
2016-09-01
期刊:
影响因子:
5.6
通讯作者:
Chen, Yi-Xiang
Chen, Yi-Xiang
中科院分区:
工程技术2区
文献类型:
--
作者:
Chen, Yi-Xiang

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讨论了在增益和损耗平衡的宇称-时间()对称非均匀非线性耦合器中具有不同衍射和色散的(3+1)维变系数耦合非线性Schrodinger方程,导出了-对称和-反对称的叠加呼吸子和交叉双呼吸子解.首次报道了色散/衍射衰减系统中可控叠加呼吸子的重现性,包括抑制、维持和延迟。这种可控行为的重现源于系统的不同衍射和色散。此外,还研究了色散/衍射衰减系统中交叉呼吸子的抑制、维持和延迟等可控激励问题。
We discuss a (3+1)-dimensional variable-coefficient coupled nonlinear Schrodinger equation with different diffractions and dispersion in parity-time () symmetric inhomogeneous nonlinear couplers with balanced gain and loss, and derive -symmetric and -antisymmetric superposed breather and crossing two-breather solutions. The recurrence of controllable superposed breathers including restraint, maintenance and postpone is firstly reported in the dispersion/diffraction decreasing system. This recurrence of controllable behaviors originates from different diffractions and dispersion of systems. Moreover, controllable excitations including restraint, maintenance and postpone of crossing two breathers are also studied in the dispersion/diffraction decreasing system.