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Spatiotemporal soliton structures in (3 \(+\) 1)-dimensional \(\mathcal {PT}\)-symmetric nonlinear couplers with gain and loss

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Abstract

Analytical spatiotemporal soliton solutions of the coupled nonlinear Schrödinger equation are derived in the (3 \(+\) 1)-dimensional inhomogeneous \(\mathcal {PT}\)-symmetric nonlinear couplers by means of the Hirota bilinear method. Based on these analytical solutions, we construct abundant spatiotemporal soliton structures and discuss the expansion and compression behaviors of spatiotemporal soliton structures in a periodic modulation system.

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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), Zhejiang Province Science Foundation for Youths (Grant No. LQ12F05005), 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 & Yan-Bing Jiang

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

    Yi-Xiang Chen, Fang-Qian Xu & Yan-Bing Jiang

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  1. Yi-Xiang Chen
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  2. Fang-Qian Xu
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Correspondence to Yi-Xiang Chen.

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Chen, YX., Xu, FQ. & Jiang, YB. Spatiotemporal soliton structures in (3 \(+\) 1)-dimensional \(\mathcal {PT}\)-symmetric nonlinear couplers with gain and loss. Nonlinear Dyn 82, 2051–2057 (2015). https://doi.org/10.1007/s11071-015-2298-4

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  • DOI: https://doi.org/10.1007/s11071-015-2298-4

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