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Dynamics of dipole breathers in nonlinear media with a spatial exponential-decay nonlocality

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Abstract

By applying the variational approach, the analytical expression of dipole breathers is obtained in nonlinear media with an exponential-decay nonlocal response. The parameters of the width, the amplitude, the phase-front curvature, and the phase of the complex amplitude of the dipole breathers are all given in analytical expressions. It is found that the input power plays a key role in the evolution of dipole breathers, whose magnitude decides the change of the beam width (compressed or broadened) during propagation. The physical reason for the evolution of dipole breathers is analyzed in detail. Numerical simulations are also carried out, and the analytical solutions are in good agreement with numerical simulations.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (Grant Nos. 61308016, 11374089, 11347121, 11304077), the Natural Science Foundation of Hebei Province (Grant Nos. A2012205023, F2012205076, A2012205085), the China Postdoctoral Science Foundation (Grant No. 2014M551041), the Research Foundation of Education Bureau of Hebei Province (Grant Nos. ZH2011107, ZD20131014), and the Natural Science Foundation of Hebei Normal University (Grant No. L2011B06).

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Authors and Affiliations

  1. College of Physics and Information Engineering, Hebei Advanced Thin Films Laboratory, Hebei Normal University, Shijiazhuang, 050024, China

    Zhen-Jun Yang, Shu-Min Zhang & Zhao-Guang Pang

  2. Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang, 421002, China

    Zhi-Ping Dai

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  1. Zhen-Jun Yang
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  2. Zhi-Ping Dai
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  4. Zhao-Guang Pang
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Correspondence to Zhen-Jun Yang.

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Yang, ZJ., Dai, ZP., Zhang, SM. et al. Dynamics of dipole breathers in nonlinear media with a spatial exponential-decay nonlocality. Nonlinear Dyn 80, 1081–1090 (2015). https://doi.org/10.1007/s11071-015-1928-1

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  • DOI: https://doi.org/10.1007/s11071-015-1928-1

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