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Nonlinear propagation dynamics of lossy tripolar breathers in nonlocal nonlinear media

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Abstract

In this work, the propagation characteristics of tripolar breather trial solution in nonlocal nonlinear media with loss are studied theoretically. The approximate equations of parameters of the tripolar breather are obtained analytically by the variational method. The analytical solution was verified by numerical simulation. Tripolar loss soliton and tripolar loss breather can be formed under suitable incident conditions. By analogy with Newton’s laws of motion in classical mechanics, we regard the evolution of the triple breather as a particle with a mass equal to 1. By studying the evolution law of the equivalent force and the equivalent potential energy, the in-depth physical reasons for the periodic evolution of the tripolar breather are analyzed.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant No. 12074098), the Hebei Provincial Natural Science Foundation of China (Grant No. A2020205009), the Science and Technology Project of Hebei Education Department of China (Grant No. ZD2022036) and the Science Foundation of Hebei Normal University of China (Grant No. L2020B05).

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Authors and Affiliations

  1. College of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang, 050024, China

    Shuang Shen, Zhen-Jun Yang, Hui Wang & Zhao-Guang Pang

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  1. Shuang Shen
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  2. Zhen-Jun Yang
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  3. Hui Wang
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  4. Zhao-Guang Pang
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Correspondence to Zhen-Jun Yang.

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Shen, S., Yang, ZJ., Wang, H. et al. Nonlinear propagation dynamics of lossy tripolar breathers in nonlocal nonlinear media. Nonlinear Dyn 110, 1767–1776 (2022). https://doi.org/10.1007/s11071-022-07698-8

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  • DOI: https://doi.org/10.1007/s11071-022-07698-8

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