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Nonlinear tunnelling effect of combined Kuznetsov–Ma soliton in (3+1)-dimensional \({{\varvec{\mathcal {PT}}}}\)-symmetric inhomogeneous nonlinear couplers with gain and loss

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Abstract

A (3+1)-dimensional variable-coefficient coupled nonlinear Schrödinger equation in parity-time symmetric inhomogeneous nonlinear couplers with gain and loss is studied, and the \({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-antisymmetric combined Kuznetsov–Ma soliton solutions are obtained via the Darboux transformation method. Nonlinear tunnelling effect of controllable combined Kuznetsov–Ma solitons such as their restraint, maintenance and postpone are discussed when they pass through the dispersion/diffraction barrier and well.

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Acknowledgments

This work was supported by the project of technology office in Zhejiang Province (Grant No. 2014C32006), the Special Foundation for theoretical physics Research Program of China (Grant No. 11447124), National Natural Science Foundation of China (Grant No. 11374254) and the higher school visiting scholar development project (Grant No. FX2013103).

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Authors and Affiliations

  1. School of Electronics Information, Zhejiang University of Media and Communications, Hangzhou, 310018, People’s Republic of China

    Yi-Xiang Chen & Fang-Qian Xu

  2. Institute of Digital Media and Communication Technology, Zhejiang University of Media and Communications, Hangzhou, 310018, People’s Republic of China

    Yi-Xiang Chen

  3. Department of Physics, Institute of Optics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Yun-Feng Jiang & Zhou-Xiang Xu

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  1. Yi-Xiang Chen
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Chen, YX., Jiang, YF., Xu, ZX. et al. Nonlinear tunnelling effect of combined Kuznetsov–Ma soliton in (3+1)-dimensional \({{\varvec{\mathcal {PT}}}}\)-symmetric inhomogeneous nonlinear couplers with gain and loss. Nonlinear Dyn 82, 589–597 (2015). https://doi.org/10.1007/s11071-015-2178-y

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