THE LANDAU-LIFSHITZ EQUATION, ELLIPTIC-CURVES AND THE WARD TRANSFORM

The Landau-Lifshitz (LL) equation is studied from a point of view that is close to that of Segal and Wilson's work on KdV. The LL hierarchy is defined and shown to exist using a dressing transformation that involves parameters λ1, λ2, λ3 that live on an elliptic curve Σ. The crucial role of the...

Full description

Bibliographic Details
Main Authors: Carey, A, Hannabuss, K, Mason, L, Singer, M
Format: Journal article
Language:English
Published: Springer-Verlag 1993