Despite the considerable theoretical and practical interest [1-14], there are very few monographs that cover, in sufficient depth, the nonlinear dynamics of magnetic solitons. The book offers to fill this gap to the best advantage. The monograph contains a complete presentation of the current state of the theory of quasi-one-dimensional magnetic solitons. Apart from the traditional description of nonlinear dynamics using the Landau-Lifshitz equations, the Andreev-Volkov-Marchenko-Zheltukhin models of phenomenological Lagrangians of spin waves are incorporated for the first time. The text elucidates the most effective techniques for integrating nonlinear partial differential equations (the inverse scattering method and "dressing" method), through examples that demonstrate  the construction and analysis of soliton solutions of ferromagnet models exhibiting various types of magnetic anisotropy, alongside unique solitons in multi-sublattice magnets, magnetic films, and strip domain structures.Â
The discussion of specific problems includes comprehensive computations and universal methodological techniques, a complete analysis of the structure and properties of various solitons. This makes the book useful both for qualified researchers and for senior university students.
eBook - ePub
Quasi-One-Dimensional Magnetic Solitons
Riemann Problem, Solitons, and Inverse Scattering Method
- 478 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Quasi-One-Dimensional Magnetic Solitons
Riemann Problem, Solitons, and Inverse Scattering Method
About this book
Information
Table of contents
- Title Page
- Copyright
- Contents
- Frontmatter
- Dedication
- Contents
- 1âPhenomenological theory of magnetism
- 2âNonlinear dynamics of an isotropic ferromagnet. Methods of integration in the theory of solitons
- 3âNonlinear dynamics of a ferromagnet with âeasy-axisâ anisotropy
- 4âDynamics of a quasi-one-dimensional âeasy-planeâ anisotropy ferromagnet
- 5âIntegration of the equations for a ferromagnet with biaxial magnetic anisotropy
- 6âNonlinear waves and solitons in a system of two crystallo-graphically nonequivalent magnetic sublattices
- 7âApplication of the matrix Riemann problem to the macroscopic dynamics of Goldstone excitations in ordered magnets
- 8âWeakly nonlinear magneto-static and magneto-elastic solitons
- 9âNonlinear dynamics of spiral (stripe domain) structure
- Index
- Subject Index
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Yes, you can access Quasi-One-Dimensional Magnetic Solitons by Alexander B. Borisov,Vladimir V. Kiselev,Alexander V. Mikhailov in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.