Breathers and rogue waves in a ferromagnetic thin film with the Dzyaloshinskii-Moriya interaction
College of Physics, Mechanical and Electrical Engineering, Jishou University, 416000, Jishou, China
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Accepted: 4 September 2018
Published online: 5 November 2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018