| During the last two decades there has been significant progress in describing magnetization and in particular,self-organization in magnetic nanostructures.In magnetism,this phenomenon has been intensively studied in terms of the spontaneous formation of magnetic domains,such as stripe domains,bubble domains,and magnetic vortexes.Recently,the phenomenon of nonlinear in ferromagnetic materials driven by the spin-transfer torque has caused a great deal of attention.The effect of the spin-polarized current in ferromagnetic nanowires is similar to electric field and magnetic field induce magnetic soliton motion and deformation,and influence the properties of magnetic materials.These studies not only lay the foundation for physics research,but also provide new ways for the potential application of the spintronic memory and logic nanodevices.In this paper,we mainly study the dynamic of magnetic breather in ferromagnetic nanowires with the term of spin-transfer torque.Firstly,we introduce the progress of magnetism,the Spintronics and the relevant knowledge of ferromagnetic.Meanwhile,we briefly summarize the formation mechanism and research progress of magnetic domain,the domain wall,the soliton and rogue wave.Secondly,we introduce the basic theory and model of spin-transfer torque,and the Landau-Lifshita-Gilbert(LLG)equation which is used to describe magnetization movement in ferromagnetic nanowires.Afterwards,we mainly investigate the magnetization dynamics of breather soliton in ferromagnetic nanowires with a spin-transfer torque.We transform the LLG equation into an equation of nonlinear equation in the long-wavelength approximation by the way of stereographic projection.Applying the Darboux transformation,the analytical solutions of breather solution,the corresponding magnon density and rogue waves solutions are obtained.At last,the numerical simulations of the soliton solutions and rogue waves solutions are analyzed and discussed in detail. |
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