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Basic Methods Of Soliton Theory (Advanced Series in Mathematical Physics)
Rok: 1996
ISBN: 9789810226435
OKCZID: 110370393
Citace (dle ČSN ISO 690):
CHEREDNIK, Ivan. Basic methods of soliton theory. Singapore: World Scientific, c1996. xi, 250 s. Advanced series in mathematical physics, vol. 25.
Anotace
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, Bocklund-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 Schrodinger equation.