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Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals

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Abstract

The evolution of spatial solitons in the photovoltaic photorefractive crystal can be governed by the specific coupled nonlinear Schrödinger equations. Under the photovoltaic field with the external bias field, the coupled cn–sn-type periodic wave solution and the corresponding photorefractive bright–dark soliton pair were constructed to describe the evolution of beam. The influence of the external bias field on solitonic dynamics is analyzed. In the photovoltaic crystal, coupled sn–cn-type, sn–dn-type periodic wave solutions, solution constructed by products of elliptic functions and the corresponding dark–bright soliton pair and coupled double-peaked soliton solutions are found to describe the evolution of a spatial-phase-modulated photovoltaic soliton and a non-phase-modulated beam.

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Acknowledgements

This work is supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LR20A050001), the National Natural Science Foundation of China (Grant Nos. 12075210 and 11874324).

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

    Chao-Qing Dai & Yue-Yue Wang

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

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Dai, CQ., Wang, YY. Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals. Nonlinear Dyn 102, 1733–1741 (2020). https://doi.org/10.1007/s11071-020-05985-w

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