Basic methods of soliton theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©1996
|
| Schriftenreihe: | Advanced series in mathematical physics
v. 25 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Includes bibliographical references (pages 239-248) and index 1 - Conservation Laws & Algebraic-Geometric Solutions - 1 - Local conservation laws - 2 - Generalized Lax equations - 3 - Algebraic-geometric solutions of basic equations - 4 - Algebraic-geometric solutions of Sin-Gordon, NS, etc. -- - II. - Backlund Transforms and Inverse Problem - 1 - Backlund transformations - 2 - Introduction to the scattering theory - 3 - Applications of the inverse problem method 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 pages |
| ISBN: | 9789812798220 9812798226 9810226438 9789810226435 |
Internformat
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| 490 | 0 | |a Advanced series in mathematical physics |v v. 25 | |
| 500 | |a Includes bibliographical references (pages 239-248) and index | ||
| 500 | |a 1 - Conservation Laws & Algebraic-Geometric Solutions - 1 - Local conservation laws - 2 - Generalized Lax equations - 3 - Algebraic-geometric solutions of basic equations - 4 - Algebraic-geometric solutions of Sin-Gordon, NS, etc. -- - II. - Backlund Transforms and Inverse Problem - 1 - Backlund transformations - 2 - Introduction to the scattering theory - 3 - Applications of the inverse problem method | ||
| 500 | |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 | ||
| 650 | 4 | |a Differential equations, Nonlinear / Numerical solutions | |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:45Z |
| institution | BVB |
| isbn | 9789812798220 9812798226 9810226438 9789810226435 |
| language | English |
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| physical | xi, 250 pages |
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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 ©1996 xi, 250 pages txt rdacontent c rdamedia cr rdacarrier Advanced series in mathematical physics v. 25 Includes bibliographical references (pages 239-248) and index 1 - Conservation Laws & Algebraic-Geometric Solutions - 1 - Local conservation laws - 2 - Generalized Lax equations - 3 - Algebraic-geometric solutions of basic equations - 4 - Algebraic-geometric solutions of Sin-Gordon, NS, etc. -- - II. - Backlund Transforms and Inverse Problem - 1 - Backlund transformations - 2 - Introduction to the scattering theory - 3 - Applications of the inverse problem method 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 Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Solitons / Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Nonlinear / Numerical solutions fast Geometry, Algebraic fast Solitons / Mathematics fast Solitons ram Physique mathématique ram Équations différentielles ram Soliton swd Mathematik Solitons Mathematics Differential equations, Nonlinear Numerical solutions Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cherednik, Ivan Basic methods of soliton theory Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Solitons / Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Nonlinear / Numerical solutions fast Geometry, Algebraic fast Solitons / Mathematics fast Solitons ram Physique mathématique ram Équations différentielles ram Soliton swd Mathematik Solitons Mathematics Differential equations, Nonlinear Numerical solutions 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 | Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Solitons / Mathematics MATHEMATICS / Differential Equations / Partial bisacsh Differential equations, Nonlinear / Numerical solutions fast Geometry, Algebraic fast Solitons / Mathematics fast Solitons ram Physique mathématique ram Équations différentielles ram Soliton swd Mathematik Solitons Mathematics Differential equations, Nonlinear Numerical solutions Soliton (DE-588)4135213-0 gnd |
| topic_facet | Differential equations, Nonlinear / Numerical solutions Geometry, Algebraic Solitons / Mathematics MATHEMATICS / Differential Equations / Partial Solitons Physique mathématique Équations différentielles Soliton Mathematik Solitons Mathematics Differential equations, Nonlinear Numerical solutions |
| work_keys_str_mv | AT cherednikivan basicmethodsofsolitontheory |