Exact solutions of a nonlinear sigma-model in a curved space and the theory of magnetically ordered media with variable saturation magnetization

Autor:	V. D. Lipovskii, E. Sh. Gutshabash
Rok vydání:	1995
Předmět:	Statistics and Probability Physics Magnetization Exact solutions in general relativity Sigma model Integrable system Harmonic function Applied Mathematics General Mathematics Mathematical analysis Soliton Curved space Square (algebra)
Zdroj:	Journal of Mathematical Sciences. 77:3063-3068
ISSN:	1573-8795 1072-3374
DOI:	10.1007/bf02367233
Popis:	Stationary solitons are found to occur in two-dimensional media with a variable saturation magnetization whose square is a harmonic function of the coordinates. It is shown in this case that the Landau-Lifshits equation can be reduced to the integrable O(3) sigma-model in curved space. Some properties of the solutions obtained are discussed. Bibliography: 15 titles.
Databáze:	OpenAIRE
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