Full Description
This is a collection of outstanding review papers on
integrable systems. It gives the algebraic geometric aspects
of the subject, describes integrability techniques e.g. for
the modified KdV equation, integrability of Hamiltonian
systems, hierarchies of equations, probability distribution
of eigenvalues, and modern aspects of quantum groups. It
addresses researchers in mathematics and mathematical
physics.
Contents
Isospectral flow and Liouville-Arnold integration in loop algebrast.- Geometry of the modified KdV equation.- Integrable hierarchies and quantum gravity.- A geometric construction of solutions of the Toda lattice hierarchy.- to random matrices.- The geometry of elastic waves propagating in an anisotropic elastic medium.- Mathematical addenda to hopper's model of plane stokes flow driven by capillarity on a free surface.- Quantization of integrable mappings.- Some aspects of the q-deformed oscillator algebras as quantum groups.
