MARC details
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| fixed length control field |
01842nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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210322b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780521753074 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.74 |
| Item number |
GES |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gesztesy, Fritz. |
| 245 ## - TITLE STATEMENT |
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| Title |
Soliton equations and their algebro-geometric solutions: dimensional continuous models, Vol. 1 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge: |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 505 p. : |
| Other physical details |
hb, |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price type code |
GBP |
| Price amount |
120.00 |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Cambridge Studies in Advanced Mathematics, 79 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Solitons |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Nonlinear--Numerical solutions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Topology |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Holden, Helge |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Item type |
Books |
