Alexander V. Mikhailov – författare
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3 produkter
3 produkter
Del 357 - London Mathematical Society Lecture Note Series
Algebraic Theory of Differential Equations
Häftad, Engelska, 2008
910 kr
Skickas inom 7-10 vardagar
Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-programme held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh.
Del 273 - Springer Proceedings in Mathematics & Statistics
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Kezenoi-Am, Russia, 2016
Inbunden, Engelska, 2018
1 081 kr
Skickas inom 10-15 vardagar
This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics.Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.
Quasi-One-Dimensional Magnetic Solitons
Riemann Problem, Solitons, and Inverse Scattering Method
Inbunden, Engelska, 2026
2 997 kr
Kommande
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.