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One-dimensional optical solitons in cubic–quintic–septimal media with \(\varvec{\mathcal {PT}}\)-symmetric potentials

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Abstract

A (\(1+1\))-dimensional inhomogeneous cubic–quintic–septimal nonlinear Schrödinger equation with \(\mathcal {PT}\)-symmetric potentials is studied, and two families of soliton solutions are obtained. From soliton solutions, the amplitude of soliton is independent of the \(\mathcal {PT}\)-symmetric potential parameter k; however, the phase depends on the parameter k. The phase of soliton alters from negative to positive values at the location of center. Moreover, the evolutional behaviors of these solitons are discussed.

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Acknowledgments

This work was supported by the project of technology office in Zhejiang Province (Grant No. 2014C32006) and the higher school visiting scholar development project (Grant No. FX2013103).

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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

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

    Yi-Xiang Chen

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Correspondence to Yi-Xiang Chen.

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Chen, YX. One-dimensional optical solitons in cubic–quintic–septimal media with \(\varvec{\mathcal {PT}}\)-symmetric potentials. Nonlinear Dyn 87, 1629–1635 (2017). https://doi.org/10.1007/s11071-016-3138-x

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  • DOI: https://doi.org/10.1007/s11071-016-3138-x

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