dorsal/arxiv
View SchemaSymmetries of KdV and Loop Groups
| Authors | Jeremy Schiff |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9606004 |
| URL | https://arxiv.org/abs/solv-int/9606004 |
Abstract
A simple version of the Segal-Wilson map from the SL(2,C) loop group to a class of solutions of the KdV hierarchy is given, clarifying certain aspects of this map. It is explained how the known symmetries, including Backlund transformations, of KdV arise from simple, field independent, actions on the loop group. A variety of issues in understanding the algebraic structure of Backlund transformations are thus resolved.
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"abstract": "A simple version of the Segal-Wilson map from the SL(2,C) loop group to a\nclass of solutions of the KdV hierarchy is given, clarifying certain aspects of\nthis map. It is explained how the known symmetries, including Backlund\ntransformations, of KdV arise from simple, field independent, actions on the\nloop group. A variety of issues in understanding the algebraic structure of\nBacklund transformations are thus resolved.",
"arxiv_id": "solv-int/9606004",
"authors": [
"Jeremy Schiff"
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"title": "Symmetries of KdV and Loop Groups",
"url": "https://arxiv.org/abs/solv-int/9606004"
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