Mar 20 – 22, 2019
Nordita, Stockholm
Europe/Stockholm timezone

Solitons and the inverse scattering method

Mar 20, 2019, 10:15 AM
45m
132:028 (Nordita, Stockholm)

132:028

Nordita, Stockholm

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).

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