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Vector multipole and vortex solitons in two-dimensional Kerr media

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Abstract

We investigate a (2+1)-dimensional coupled nonlinear Schrödinger equation with spatially modulated nonlinearity and transverse modulation, and derive analytical vector multipole and vortex soliton solution. When the modulation depth q is chosen as 0 and 1, vector multipole and vortex solitons are constructed, respectively. The number of azimuthal lobes (“petals”) for the multipole solitons is determined by the value of 2m with the topological charge m, and the number of layers in the multipole solitons is determined by the value of the soliton order number n.

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Acknowledgements

This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant Nos. LY17F050011, LY16A040014 and LQ16A040003), and National Natural Science Foundation of China (Grant Nos. 11375007, 11574272 and 11574271). 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, Guo-Quan Zhou & Jun Zheng

  2. Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, Zhejiang, People’s Republic of China

    Rui-Pin Chen

  3. Department of Basic Science, Zhejiang Shuren University, Hangzhou, 310015, Zhejiang, People’s Republic of China

    Xian-Jing Lai

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  1. Chao-Qing Dai
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Zhou, GQ., Chen, RP. et al. Vector multipole and vortex solitons in two-dimensional Kerr media. Nonlinear Dyn 88, 2629–2635 (2017). https://doi.org/10.1007/s11071-017-3399-z

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