Basic methods of soliton theory:
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1996
|
| Schriftenreihe: | Advanced series in mathematical physics
v. 25 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines. The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications. Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation |
| Beschreibung: | xi, 250 p |
| ISBN: | 9789812798220 |
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| 520 | |a In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines. The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications. Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation | ||
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| author | Cherednik, Ivan |
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| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635933 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812798220 |
| language | English |
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| physical | xi, 250 p |
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| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Advanced series in mathematical physics |
| spelling | Cherednik, Ivan Verfasser aut Basic methods of soliton theory Ivan Cherednik Singapore World Scientific Pub. Co. c1996 xi, 250 p txt rdacontent c rdamedia cr rdacarrier Advanced series in mathematical physics v. 25 In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines. The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications. Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation Solitons / Mathematics Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810226435 Erscheint auch als Druck-Ausgabe 9810226438 http://www.worldscientific.com/worldscibooks/10.1142/3084#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cherednik, Ivan Basic methods of soliton theory Solitons / Mathematics Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4135213-0 |
| title | Basic methods of soliton theory |
| title_auth | Basic methods of soliton theory |
| title_exact_search | Basic methods of soliton theory |
| title_full | Basic methods of soliton theory Ivan Cherednik |
| title_fullStr | Basic methods of soliton theory Ivan Cherednik |
| title_full_unstemmed | Basic methods of soliton theory Ivan Cherednik |
| title_short | Basic methods of soliton theory |
| title_sort | basic methods of soliton theory |
| topic | Solitons / Mathematics Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Soliton (DE-588)4135213-0 gnd |
| topic_facet | Solitons / Mathematics Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Soliton |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3084#t=toc |
| work_keys_str_mv | AT cherednikivan basicmethodsofsolitontheory |