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Spatiotemporal Hermite–Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation

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Abstract

A (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation is considered, and approximate spatiotemporal Hermite–Gaussian soliton solutions are obtained using the Hirota method. Based on these results, some basic characteristics of spatiotemporal Hermite–Gaussian solitons are studied.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11375007 and 11404289). 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, Yu Wang & Jiu Liu

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  1. Chao-Qing Dai
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  2. Yu Wang
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  3. Jiu Liu
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Wang, Y. & Liu, J. Spatiotemporal Hermite–Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation. Nonlinear Dyn 84, 1157–1161 (2016). https://doi.org/10.1007/s11071-015-2560-9

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  • DOI: https://doi.org/10.1007/s11071-015-2560-9

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