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Stable localized spatial solitons in \(\mathcal {PT}\)-symmetric potentials with power-law nonlinearity

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Abstract

We derive analytical spatial soliton solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation with power-law nonlinearity in \(\mathcal {PT}\)-symmetric potentials. The stability of these solutions is tested by the linear stability analysis and the direct numerical simulations. Moreover, some dynamical characteristics of these solutions, such as the phase switch, the power, and the transverse power-flow density, are also examined.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 11375007), the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY13F050006) and the Scientific Research and Developed Fund of Zhejiang A & F University (Grant No. 2014FR020). Dr. Chao-Qing Dai is also sponsored by the Foundation of New Century “151 Talent Engineering” of Zhejiang Province of China.

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  1. School of Sciences, Zhejiang A&F University, Lin’an , 311300, Zhejiang, People’s Republic of China

    Yue-Yue Wang, Chao-Qing Dai & Xiao-Gang Wang

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  1. Yue-Yue Wang
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  2. Chao-Qing Dai
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  3. Xiao-Gang Wang
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Correspondence to Yue-Yue Wang.

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Wang, YY., Dai, CQ. & Wang, XG. Stable localized spatial solitons in \(\mathcal {PT}\)-symmetric potentials with power-law nonlinearity. Nonlinear Dyn 77, 1323–1330 (2014). https://doi.org/10.1007/s11071-014-1381-6

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  • DOI: https://doi.org/10.1007/s11071-014-1381-6

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