Magnetic Solitons

Abstract

It is known that there is strong association between the basic equation of nonlinear optics, the nonlinear Schrödinger equation (NSE), and the fundamental equation of magnetodynamics, the Landau-Lifshitz equation (LLE), that, in the case of isotropic and uniaxially anisotropic medium, just takes the form of equivalence [1, 2]. This gives grounds to expect close similarity between nonlinear soliton phenomena in optics and magnetism. The traditional objects of study in magnetodynamics are so-called domain walls (DWs) (narrow, moving or standing, transition regions in magnets separating the regions of different uniform magnetization) and small-amplitude oscillating soliton-like packets of magnetostatic waves (MSW), which are clearly observable and reliably reproducible in experiments. However, the class of known exact soliton solutions is more wide. It contains the solutions correspondent to DWs as a particular case, so- called topological solitons, and includes the family of localized solutions (“dynamical solitons”). These solitons may be considered as promising information carriers for devices of functional magnetoelectronics, because their maximal velocities are much higher than the velocities of bubble magnetic domains, which were studied intensively earlier. Unfortunately, it should be noted that there are no fool-proof physical experiments in observation and generation of them.