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Vector spatiotemporal localized structures in (3 \(+\) 1)-dimensional strongly nonlocal nonlinear media

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Abstract

We investigate the (3 \(+\) 1)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous nonlocal nonlinear media and derive analytical vector spatiotemporal localized solution. Based on this solution, Gaussian solitons and some symmetric multipole patterns around the point \((x, y) =(0,0)\) can be constructed. The change trends of the amplitude and width of solitons are opposite, and they finally tend to a certain value. The compression and expansion of spatiotemporal localized structures are also studied in an exponential diffraction decreasing system.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11375007 and 11574272) and Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y17F050046 and LY16A040014). 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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Authors and Affiliations

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

    Chao-Qing Dai, Yan Fan, Guo-Quan Zhou, Jun Zheng & Liang Chen

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  1. Chao-Qing Dai
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  2. Yan Fan
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  3. Guo-Quan Zhou
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  4. Jun Zheng
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  5. Liang Chen
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Fan, Y., Zhou, GQ. et al. Vector spatiotemporal localized structures in (3 \(+\) 1)-dimensional strongly nonlocal nonlinear media. Nonlinear Dyn 86, 999–1005 (2016). https://doi.org/10.1007/s11071-016-2941-8

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  • DOI: https://doi.org/10.1007/s11071-016-2941-8

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