Important Developments in Soliton Theory
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Beschreibung
In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.
This volume provides an overview, by foremost experts, of the most important developments in soliton theory and the theory of integrable equations over the past ten to fifteen years. Numbered among the authors are many of the most prominent researchers in the field. It will be of interest to both mathematicians and physicists.
Autor*in
A.S. Fokas
Themen in »Important Developments in Soliton Theory«
Eigenvalue Hamiltonian mechanics Mathematische Physik Nichtlineare Dynamik Solitonen algebraic geometry development differential equation gravity integrable system integral mathematical physics nonlinear dynamics partial differential equation solitions