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Spectral Methods in Soliton Equations (Record no. 579324)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01630nam a2200181la 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250808s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780582239630 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.352 |
| Item number | ILI |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Iliev, I D |
| 245 #0 - TITLE STATEMENT | |
| Title | Spectral Methods in Soliton Equations |
| Statement of responsibility, etc | Iliev, I D; Khristov, Eugeni; Kirchev, Kiril Petrov |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | CRC Press |
| Year of publication | 1994 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 412 pages |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. This book presents some spectral theory methods for the investigation of soliton equations ad the inverse scattering problems related to these equations. The authors give the theory of expansions for the Sturm-Liouville operator and the Dirac operator. On this basis, the spectral theory of recursion operators generating Korteweg-de Vries type equations is presented and the Ablowitz-Kaup-Newell-Segur scheme, through which the inverse scattering method could be understood as a Fourier-type transformation, is considered. Following these ideas, the authors investigate some of the questions related to inverse spectral problems, i.e. uniqueness theorems, construction of explicit solutions and approximative methods for solving inverse scattering problems. A rigorous investigation of the stability of soliton solutions including solitary waves for equations which do not allow integration within inverse scattering method is also presented. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Khristov, Eugeni |
| -- | Kirchev, Kiril Petrov |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Anna Centenary Library | Anna Centenary Library | 5TH FLOOR, A WING | 08.08.2025 | 515.352 ILI | 171633 | 08.08.2025 | English Books |