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Spatiotemporal localizations in \((3+1)\)-dimensional \({{\mathcal {PT}}}\)-symmetric and strongly nonlocal nonlinear media

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Abstract

A \((3+1)\)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous \({\mathcal {PT}}\)-symmetric and strongly nonlocal nonlinear media is studied, and analytical vector spatiotemporal localized solutions are obtained. From these solutions, Gaussian soliton clusters, multipole soliton clusters, and nested soliton clusters can be constructed. The expansion behavior and periodic expansion and compression of spatiotemporal localizations are also investigated in the diffraction decreasing system and periodic modulation system, respectively.

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Acknowledgments

This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY13F050006), the National Natural Science Foundation of China (Grant Nos. 11375007 and 11404289) and the Scientific Research and Developed Fund of Zhejiang A & F University (Grant No. 2014FR020). Dr. Chao-Qing Dai is also sponsored by the Foundation of New Century “151 Talent Engineering” of Zhejiang Province of China and Youth Top-notch Talent Development and Training Program of Zhejiang A & F University.

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  1. School of Sciences, Zhejiang A & F University, Lin’an, 311300, Zhejiang, People’s Republic of China

    Chao-Qing Dai & Yue-Yue Wang

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  1. Chao-Qing Dai
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  2. Yue-Yue Wang
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Wang, YY. Spatiotemporal localizations in \((3+1)\)-dimensional \({{\mathcal {PT}}}\)-symmetric and strongly nonlocal nonlinear media. Nonlinear Dyn 83, 2453–2459 (2016). https://doi.org/10.1007/s11071-015-2493-3

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  • DOI: https://doi.org/10.1007/s11071-015-2493-3

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