Nonlinear Dynamics

, Volume 85, Issue 4, pp 2801–2808 | Cite as

\({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-antisymmetric superposed breathers in (3\(+\)1)-dimensional inhomogeneous nonlinear couplers with balanced gain and loss

Original Paper


We discuss a (3+1)-dimensional variable-coefficient coupled nonlinear Schrödinger equation with different diffractions and dispersion in parity-time (\({\mathcal {PT}}\)) symmetric inhomogeneous nonlinear couplers with balanced gain and loss, and derive \({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-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.


(3\(+\)1)-dimensional coupled nonlinear Schrödinger equation \({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-antisymmetric superposed breathers Recurrence of controllable behaviors 



This work was supported by the project of technology office in Zhejiang Province (Grant No. 2014C32006), National Natural Science Foundation of China (Grant No. 11374254) and the higher school visiting scholar development project (Grant No. FX2013103).


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.School of Electronics InformationZhejiang University of Media and CommunicationsHangzhouPeople’s Republic of China
  2. 2.Institute of Digital Media and Communication TechnologyZhejiang University of Media and CommunicationsHangzhouPeople’s Republic of China

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