Journal article
THE LANDAU-LIFSHITZ EQUATION, ELLIPTIC-CURVES AND THE WARD TRANSFORM
- Abstract:
-
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 group K ≃ ℤ2 × ℤ2 of translations by the half-periods of Σ and its non-trivial central extension {Mathematical expression} is brought out and an analogue of Birkhoff factorisation for {Mathematical exp...
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- Publication status:
- Published
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- Publisher copy:
- 10.1007/BF02096830
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Bibliographic Details
- Publisher:
- Springer-Verlag
- Journal:
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume:
- 154
- Issue:
- 1
- Pages:
- 25-47
- Publication date:
- 1993-05-01
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
- Source identifiers:
-
29738
Item Description
- Language:
- English
- Pubs id:
-
pubs:29738
- UUID:
-
uuid:a9d8c170-abd7-49ec-b2c7-4d00f42759b4
- Local pid:
- pubs:29738
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 1993
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