Speaker
Hans Fogedby
(Aarhus University)
Description
We review briefly some of the soliton-carrying 1D evolution
equations: The Korteweg-de-Vries equation for shallow water
waves, the Non Linear Schrödinger equation for
self-focussing light beams, and the Sine-Gordon equation in
field theory. These systems are all integrable by means of
the remarkable Inverse Scattering Method. We next focus on
the classical continuous 1D Heisenberg model which likewise
is completely integrable. We discuss the Heisenberg
soliton-spin wave spectrum and the Inverse Scattering Method
applied to this model. We conclude with some general remarks
(of dubious relevance).
