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Breathers and rogue waves in a ferromagnetic thin film with the Dzyaloshinskii-Moriya interaction

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Abstract.

We report a theoretical research on nonlinear localized excitations in a ferromagnetic thin film with an interfacial Dzyaloshinskii-Moriya interaction. Employing the Generalized Darboux transformation, analytical forms for magnetic breathers and the first- to third-order rogue wave solutions are exactly constructed. It is found that the introduction of the Dzyaloshinskii-Moriya interaction may lead to a reverse effect of the propagation direction of the magnetic breather, and varying the value of the Dzyaloshinskii-Moriya interaction parameter can change the velocity of the magnetic breather. Furthermore, our results display that first- to third-order magnetic rogue waves will rotate clockwise as the intensity of the Dzyaloshinskii-Moriya interaction increases.

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Authors and Affiliations

  1. College of Physics, Mechanical and Electrical Engineering, Jishou University, 416000, Jishou, China

    Zhi-Hao Deng, Tianle Wu, Bing Tang, Xiao-Yun Wang, He-Ping Zhao & Ke Deng

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  1. Zhi-Hao Deng
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  2. Tianle Wu
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  3. Bing Tang
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  4. Xiao-Yun Wang
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  5. He-Ping Zhao
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  6. Ke Deng
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Correspondence to Bing Tang.

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Deng, ZH., Wu, T., Tang, B. et al. Breathers and rogue waves in a ferromagnetic thin film with the Dzyaloshinskii-Moriya interaction. Eur. Phys. J. Plus 133, 450 (2018). https://doi.org/10.1140/epjp/i2018-12311-8

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