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Vector Hermite–Gaussian spatial solitons in (2+1)-dimensional strongly nonlocal nonlinear media

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Abstract

We obtain an analytical vector Hermite–Gaussian spatial soliton solution of the (2+1)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous nonlocal nonlinear media, and investigate the periodic expansion and compression behaviors of Hermite–Gaussian spatial solitons in a periodic modulation system. The structure of Hermite–Gaussian soliton lattice is decided by the degree (n, m) of Hermite polynomials. The evolution of the soliton-lattice breather appears the full breathing cycle, and the interval between solitons oscillates periodically as the wave propagates. The amplitude and width change periodically; however, they exist opposite trend in the periodic modulation system.

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Acknowledgments

This work was supported by the Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201120994.

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  1. College of Engineering and Design, Zhejiang Lishui University, Lishui, 323000, Zhejiang, People’s Republic of China

    Hong-Yu Wu & Li-Hong Jiang

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  1. Hong-Yu Wu
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  2. Li-Hong Jiang
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Correspondence to Hong-Yu Wu.

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Wu, HY., Jiang, LH. Vector Hermite–Gaussian spatial solitons in (2+1)-dimensional strongly nonlocal nonlinear media. Nonlinear Dyn 83, 713–718 (2016). https://doi.org/10.1007/s11071-015-2359-8

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