Nonlinear Schrödinger Equation for Description of Small-amplitude Spin Waves in Multilayer Magnetic Materials

Authors I.V. Gerasimchuk1,2, Yu.I. Gorobets1,2, V.S. Gerasimchuk2

1 Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, 36b, Vernadsky Blvd., 03142 Kyiv, Ukraine

2 National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37, Peremohy Ave., 03142 Kyiv, Ukraine

Issue Volume 8, Year 2016, Number 2
Dates Received 04 February 2016; published online 21 June 2016
Citation I.V. Gerasimchuk, Yu.I. Gorobets, V.S. Gerasimchuk, J. Nano- Electron. Phys. 8 No 2, 02020 (2016)
DOI 10.21272/jnep.8(2).02020
PACS Number(s) 63.20.Pw, 75.30.Ds, 75.70.Cn
Keywords Spin waves, Magnetic defect, “Magnetic sandwich”, Nonlinear Schrödinger equation, Localized state, Soliton.
Annotation In the framework of the description of spin waves in multilayer magnetic materials the nonlinear Schrödinger equation with the system of -functional potentials was derived. In the case of a system with one narrow magnetic layer (“magnetic sandwich”), having different value of single-ion anisotropy from that one of the matrix, the corresponding boundary conditions are obtained and the solution localized near this layer is found. The properties are described and the quasi-classical quantization of the obtained soliton state is carried out.

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