Item description for Basic Methods of Solution Theory (Advanced Series in Mathematical Physics, Vol 25) by Ivan Cherednik...
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.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 8.6" Width: 6.1" Height: 0.9" Weight: 0.95 lbs.
Publisher World Scientific Publishing Company
ISBN 9810226438 ISBN13 9789810226435
Availability 0 units.
More About Ivan Cherednik
Ivan Cherednik has an academic affiliation as follows - University of North Carolina, Chapel Hill.