Hierarchies of Soliton Equations and Their Algebro-Geometric Solutions
| Author/creator | Gesztesy, F., 1953- Author |
| Other author | Holden, H. Author |
| Format | Electronic |
| Publication Info | New York : Cambridge University Press |
| Description | 448 p. ill 22.800 x 015.200 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Cambridge Studies in Advanced Mathematics Ser. |
| Summary | Annotation As a partner to Volume 1: Dimensional Continuous Models, this book provides a self-contained introduction to solition equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2002074069 |
| ISBN | 9780521753081 |
| ISBN | 0521753082 (Trade Cloth) Active Record |
| Standard identifier# | 9780521753081 |
| Stock number | 00004933 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |