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Controlling effect of vector and scalar crossed double-Ma breathers in a partially nonlocal nonlinear medium with a linear potential

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Abstract

We follow our interest in a nonautonomous (2+1)-dimensional coupled nonlinear Schrödinger equation with partially nonlocal nonlinear effect and a linear potential, and get a relational expression mapping nonautonomous equation into autonomous one. Further applying the Darboux method, we find affluent vector and scalar solutions, including the crossed double-Ma breather solution. Regulating values of initial width, initial chirp and diffraction parameters so that the maximal value of accumulated time changes to compare with values of peak positions, we actualize the controlling effect of vector and scalar crossed double-Ma breathers including the complete shape, crest shape and nascent shape excitations in different linear potentials.

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Acknowledgements

This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LR20A050001) and the National Natural Science Foundation of China (Grant No. 61877053).

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Authors and Affiliations

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

    Chao-Qing Dai

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

    Jie-Fang Zhang

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  1. Chao-Qing Dai
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  2. Jie-Fang Zhang
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Zhang, JF. Controlling effect of vector and scalar crossed double-Ma breathers in a partially nonlocal nonlinear medium with a linear potential. Nonlinear Dyn 100, 1621–1628 (2020). https://doi.org/10.1007/s11071-020-05603-9

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  • DOI: https://doi.org/10.1007/s11071-020-05603-9

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