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Two-dimensional Gaussian-type spatial solitons in inhomogeneous cubic–quintic–septimal nonlinear media under \(\varvec{\mathcal {PT}}\)-symmetric potentials

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Abstract

A (\(2+1\))-dimensional nonlinear Schrödinger equation with cubic–quintic–septimal nonlinearities and \(\mathcal {PT}\)-symmetric potentials is studied, and two kinds of Gaussian-type spatial soliton solutions are obtained. The compressed behaviors of spatial solitons are investigated in three different diffraction systems with Gaussian, Logarithmic and linear profiles. The real and imaginary parts of \(\mathcal {PT}\)-symmetric potentials, the width, amplitude and phase transition of spatial solitons in different media are compared and studied.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11775185) and the higher school visiting scholar development project (Grant No. FX2013103). Funding was provided by project of technology office in Zhejiang Province (Grant No. 2014C32006).

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Authors and Affiliations

  1. School of Electronics Information, Zhejiang University of Media and Communications, Hangzhou, 310018, Zhejiang, People’s Republic of China

    Yi-Xiang Chen, Fang-Qian Xu & Yi-Liang Hu

  2. Institute of Digital Media and Communication Technology, Zhejiang University of Media and Communications, Hangzhou, 310018, People’s Republic of China

    Yi-Xiang Chen, Fang-Qian Xu & Yi-Liang Hu

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  1. Yi-Xiang Chen
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  2. Fang-Qian Xu
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Correspondence to Yi-Xiang Chen.

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Chen, YX., Xu, FQ. & Hu, YL. Two-dimensional Gaussian-type spatial solitons in inhomogeneous cubic–quintic–septimal nonlinear media under \(\varvec{\mathcal {PT}}\)-symmetric potentials. Nonlinear Dyn 90, 1115–1122 (2017). https://doi.org/10.1007/s11071-017-3713-9

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  • DOI: https://doi.org/10.1007/s11071-017-3713-9

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