dorsal/arxiv
View SchemaThe structures underlying soliton solutions in integrable hierarchies
| Authors | Luiz A. Ferreira |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701013 |
| URL | https://arxiv.org/abs/solv-int/9701013 |
| DOI | 10.1063/1.53232 |
Abstract
We point out that a common feature of integrable hierarchies presenting soliton solutions is the existence of some special ``vacuum solutions'' such that the Lax operators evaluated on them, lie in some abelian subalgebra of the associated Kac-Moody algebra. The soliton solutions are constructed out of those ``vacuum solitons'' by the dressing transformation procedure.
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"abstract": "We point out that a common feature of integrable hierarchies presenting\nsoliton solutions is the existence of some special ``vacuum solutions\u0027\u0027 such\nthat the Lax operators evaluated on them, lie in some abelian subalgebra of the\nassociated Kac-Moody algebra. The soliton solutions are constructed out of\nthose ``vacuum solitons\u0027\u0027 by the dressing transformation procedure.",
"arxiv_id": "solv-int/9701013",
"authors": [
"Luiz A. Ferreira"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
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"doi": "10.1063/1.53232",
"title": "The structures underlying soliton solutions in integrable hierarchies",
"url": "https://arxiv.org/abs/solv-int/9701013"
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