Ding, Qing; Zhu, Zuonong The gauge equivalent structure of the Landau-Lifshitz equation and its applications. (English) Zbl 1071.82573 J. Phys. Soc. Japan 72, No. 1, 49-53 (2003). Summary: By introducing the conception of given curvature formulation for partial differential equations, we show that the Landau–Lifshitz equation (LLE) is gauge equivalent to a nonlinear Schrödinger-like equation, which answers a question proposed by Bordag and Yanovski. As a direct consequence, explicit first-order approximate 1-soliton solutions (with respect to the interaction anisotropy) to the LLE are constructed from those to the nonlinear Schrödinger-like equation. Cited in 3 Documents MSC: 82D40 Statistical mechanical studies of magnetic materials 35Q55 NLS equations (nonlinear Schrödinger equations) Keywords:gauge equivalent structure, Landau-Lifshitz equation PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Z. Zhu}, J. Phys. Soc. Japan 72, No. 1, 49--53 (2003; Zbl 1071.82573) Full Text: DOI