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Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients

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Abstract

We study analytically and numerically spatiotemporal solitons in three-dimensional strongly nonlocal nonlinear media. A broad class of exact self-similar solutions to the strongly nonlocal Schrödinger equation with variable potential coefficients has been obtained. We find robust soliton cluster solutions of the accessible type, constructed with the help of Kummer and Hermite functions. They are characterized by the set of three quantum numbers. Dynamical features of these spatiotemporal accessible solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.

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Acknowledgments

This work is supported in China by the Department of Science of Hubei Province of China (Grant Nos. 2015CFC779, 2013CFC011), the National Natural Science Foundation of China (61340042) and the Educational Commission of Hubei Province of China (Grant No. D20142803). In addition, work in Qatar is supported by the NPRP 6-021-1-005 Project with the Qatar National Research Fund and in China by the Natural Science Foundation of Guangdong Province under Grant No. 1015283001000000. MRB also acknowledges Al Sraiya Holding Group in Qatar, for additional support.

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Authors and Affiliations

  1. The School of Electronic and Information Engineering, HuBei University of Science and Technology, Xianning, 437100, China

    Si-Liu Xu, Li Xue & Jun-Rong He

  2. Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    Milivoj R. Belić

  3. Institute of Physics, University of Belgrade, P.O. Box 68, Belgrade, 11001, Serbia

    Milivoj R. Belić

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  1. Si-Liu Xu
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  2. Li Xue
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  4. Jun-Rong He
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Correspondence to Si-Liu Xu.

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Xu, SL., Xue, L., Belić, M.R. et al. Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients. Nonlinear Dyn 87, 827–834 (2017). https://doi.org/10.1007/s11071-016-3081-x

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  • DOI: https://doi.org/10.1007/s11071-016-3081-x

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