Soliton Equations and Hamilton Systems
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0215-6 (ISBN)
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The theory of soliton equations and integrable systems has developed rapidly over the past 20 years with applications in both mechanics and physics. A flood of papers followed a work by Gardner, Green, Kruskal and Mizura about the Korteweg-de Vries equation (KdV) which had seemend to be merely and unassuming equation of mathematical physics describing waves in shallow water.
Integrable systems generated by linear differential nth order operators; Hamiltonian structures; Hamiltonian structures of the KdV-hierarchies; the Kupershmidt-Wilson theorem; the KP-hierarchy; Hamiltonian structure of the KP-hierarchy; Baker function, tau-function; Grassmannian, tau-function and Baker function after Segal and Wilson. Algebraic-geometrical Krichever's solutions; matrix first-order operators; KdV-hierarchies as reductions of matrix hierarchies; stationary equations; stationary equations of the KdV-hierarchy in the narrow sense (n=2); stationary equations of the matrix hierarchy; stationary equations of the KdV-hierarchies; matrix differential operators polynomially depending on a parameter; multi-time Lagrangian and Hamiltonian formalism; further examples and applications.
| Reihe/Serie | Advanced Series in Mathematical Physics ; Vol 12 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 981-02-0215-6 / 9810202156 |
| ISBN-13 | 978-981-02-0215-6 / 9789810202156 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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