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Dark and gray solitons of (\(2+1\))-dimensional nonlocal nonlinear media with periodic response function

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Abstract

By using the standard symmetry reduction method, some exact analytical solutions including gray solitons and gray soliton lattice solutions are derived for the (\(2+1\))-dimensional nonlinear optical media with periodic nonlocal response. Furthermore, dark/gray soliton solutions and dark soliton lattice solutions are found by means of hyperbolic function expansion method and elliptic function expansion method for the nonlocal nonlinear system, respectively. It is found that two critical points exist for soliton solutions, and the switching dynamics of solitons may be described by the critical points.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China(NSFC) (Grant Nos. 11447017, 11471166, 11401294) and Zhejiang Provincial Natural Science Foundation of China (Grant No. LY14A010005).

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Authors and Affiliations

  1. Department of Mathematics, Lishui University, Lishui, 323000, China

    Yahong Hu & Quanyong Zhu

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  1. Yahong Hu
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  2. Quanyong Zhu
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Correspondence to Quanyong Zhu.

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Hu, Y., Zhu, Q. Dark and gray solitons of (\(2+1\))-dimensional nonlocal nonlinear media with periodic response function. Nonlinear Dyn 89, 225–233 (2017). https://doi.org/10.1007/s11071-017-3448-7

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