Quasi-One-Dimensional Magnetic Solitons: Riemann Problem, Solitons, and Inverse Scattering Method

Bys: Borisov, Alexander B., Kiselev, Vladimir V., Mikhailov, Alexander V.

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.
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.

• Format: Hardcover
• Language: English
• ISBN: 3112235967
• ISBN13: 9783112235966
• Release Date: August 2026
• Publisher: de Gruyter
• Length: 494 Pages