dorsal/arxiv
View SchemaCanonicity of Baecklund transformation: r-matrix approach. II
| Authors | E. K. Sklyanin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903017 |
| URL | https://arxiv.org/abs/solv-int/9903017 |
| Journal | Proceedings of the Steklov Institute of Mathematics 226 (1999) 121-126 |
Abstract
This is the second part of the paper devoted to the general proof of canonicity of Baecklund transformation (BT) for a Hamiltonian integrable system governed by SL(2)-invariant r-matrix. Introducing an extended phase space from which the original one is obtained by imposing a 1st kind constraint, we are able to prove the canonicity of BT in a new way. The new proof allows to explain naturally the fact why the gauge transformation matrix M associated to the BT has the same structure as the Lax operator L. The technique is illustrated on the example of the DST chain.
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"abstract": "This is the second part of the paper devoted to the general proof of\ncanonicity of Baecklund transformation (BT) for a Hamiltonian integrable system\ngoverned by SL(2)-invariant r-matrix. Introducing an extended phase space from\nwhich the original one is obtained by imposing a 1st kind constraint, we are\nable to prove the canonicity of BT in a new way. The new proof allows to\nexplain naturally the fact why the gauge transformation matrix M associated to\nthe BT has the same structure as the Lax operator L. The technique is\nillustrated on the example of the DST chain.",
"arxiv_id": "solv-int/9903017",
"authors": [
"E. K. Sklyanin"
],
"categories": [
"solv-int",
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],
"journal_ref": "Proceedings of the Steklov Institute of Mathematics 226 (1999)\n 121-126",
"title": "Canonicity of Baecklund transformation: r-matrix approach. II",
"url": "https://arxiv.org/abs/solv-int/9903017"
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