Soliton equations and Hamiltonian systems
Author(s)
Bibliographic Information
Soliton equations and Hamiltonian systems
（Advanced series in mathematical physics / editors-in-charge, D.H. Phong, S.-T. Yan, v. 12）
World Scientific, c1991
- : pbk
Available at / 60 libraries
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Hiroshima University Central Library, Interlibrary Loan
640510,
: pbk413.6:D-72/HL4010004000409222 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515/D5592070211472
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Note
Bibliographical references: p. 303-310
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"