| 书目名称 | Hamiltonian Methods in the Theory of Solitons |
| 编辑 | Ludwig D. Faddeev,Leon A. Takhtajan |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Classics in Mathematics |
| 图书封面 |  |
| 描述 | This book presents the foundations of the inverse scattering method and its applications to the theory of solitons in such a form as we understand it in Leningrad. The concept of solitonwas introduced by Kruskal and Zabusky in 1965. A soliton (a solitary wave) is a localized particle-like solution of a nonlinear equation which describes excitations of finite energy and exhibits several characteristic features: propagation does not destroy the profile of a solitary wave; the interaction of several solitary waves amounts to their elastic scat tering, so that their total number and shape are preserved. Occasionally, the concept of the soliton is treated in a more general sense as a localized solu tion of finite energy. At present this concept is widely spread due to its universality and the abundance of applications in the analysis of various processes in nonlinear media. The inverse scattering method which is the mathematical basis of soliton theory has developed into a powerful tool of mathematical physics for studying nonlinear partial differential equations, almost as vigoraus as the Fourier transform. The book is based on the Hamiltonian interpretation of the method, hence the |
| 出版日期 | Book 2007 |
| 关键词 | Inverse scattering method; Lie-Algebra; Riemann problem; Schrödinger equations; curvature; integrable Evo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-69969-9 |
| isbn_softcover | 978-3-540-69843-2 |
| isbn_ebook | 978-3-540-69969-9Series ISSN 1431-0821 Series E-ISSN 2512-5257 |
| issn_series | 1431-0821 |
| copyright | Springer-Verlag Berlin Heidelberg 2007 |
发表于 2025-3-21 19:51:05
