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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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.
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
EUR 35,95 gastos de envío desde Alemania a Estados Unidos de America
Destinos, gastos y plazos de envíoEUR 28,66 gastos de envío desde Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envíoLibrería: Antiquariat Bernhardt, Kassel, Alemania
Karton. Condición: Sehr gut. Zust: Gutes Exemplar. Mit original Schutzumschlag. XI, 250 S. Englisch 502g. Nº de ref. del artículo: 483222
Cantidad disponible: 1 disponibles
Librería: PsychoBabel & Skoob Books, Didcot, Reino Unido
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
Cantidad disponible: 1 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 250 pages. 9.00x6.50x0.75 inches. In Stock. Nº de ref. del artículo: zk9810226438
Cantidad disponible: 1 disponibles