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Sinopsis
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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Reseña del editor
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, Backlund-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 Schroedinger equation.
Reseña del editor
This text is a introduction to the mathematical soliton theory with an emphasis on algebraic aspects, including an exposition of its background, the recent developments and concrete methods for the equations important to physics. The book is centered around general matrix soliton equation, which are of importance to the foundations and applications of soliton theory. It contains algebraized constructions of local conservation laws; Backlund-Darboux transformations; the integration technique by algebraic geometry and the inverse scattering method and the Hamiltonian theory with well grounded preliminaries. The general results are detailed for the Sine-Gordon, Nonlinear Schrodinger, Landau-Lifschitz equations and are interpreted from the point of view of algebraic geometry and the representaion theory by means of loop groups and Kac-Moody algebras, r-matrices and tau-functions.
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Basic Methods Of Soliton Theory (Advanced Series in Mathematical Physics, Band 25).
Publicado por
World Scientific Publishing Co Pte Ltd, 1996
ISBN 10: 9810226438
ISBN 13: 9789810226435
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Karton
Librería: Antiquariat Bernhardt, Kassel, Alemania
Calificación del vendedor: 5 de 5 estrellas
Karton. Condición: Sehr gut. Zust: Gutes Exemplar. Mit original Schutzumschlag. XI, 250 S. Englisch 502g. Nº de ref. del artículo: 483222
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Basic Methods of Soliton Theory
Publicado por
World Scientific Publishing Co., Singapore, 1996
ISBN 10: 9810226438
ISBN 13: 9789810226435
Antiguo o usado
Tapa dura
Librería: PsychoBabel & Skoob Books, Didcot, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Very Good. Estado de la sobrecubierta: Very Good. Hardcover with unclipped dust jacket in very good condition. Light shelf wear to the jacket, and board spine ends are slightly bumped and rubbed. Content is as unread. LW. Used. Nº de ref. del artículo: 545410
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Basic Methods of Solution Theory (Advanced Series in Mathematical Physics, Vol 25)
Publicado por
World Scientific Pub Co Inc, 1996
ISBN 10: 9810226438
ISBN 13: 9789810226435
Nuevo
Paperback
Librería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 250 pages. 9.00x6.50x0.75 inches. In Stock. Nº de ref. del artículo: zk9810226438
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