dorsal/arxiv
View SchemaVector NLS hierarchy solitons revisited: dressing transformation and tau function approach
| Authors | Harold Blas |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9912015 |
| URL | https://arxiv.org/abs/solv-int/9912015 |
Abstract
We discuss some algebraic aspects of the integrable vector non-linear Schr\"{o}dinger hierarchies (GNLS$_{r}$). These are hierarchies of zero-curvature equations constructed from affine Kac-Moody algebras $\hat{sl}_{r+1}$. Using the dressing transformation method and the tau-function formalism, we construct the N-soliton solutions of the GNLS$_{r}$ systems. The explicit matrix elements in the case of GNLS$_{1}$ are computed using level one vertex operator representations.
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"abstract": "We discuss some algebraic aspects of the integrable vector non-linear\nSchr\\\"{o}dinger hierarchies (GNLS$_{r}$). These are hierarchies of\nzero-curvature equations constructed from affine Kac-Moody algebras\n$\\hat{sl}_{r+1}$. Using the dressing transformation method and the tau-function\nformalism, we construct the N-soliton solutions of the GNLS$_{r}$ systems. The\nexplicit matrix elements in the case of GNLS$_{1}$ are computed using level one\nvertex operator representations.",
"arxiv_id": "solv-int/9912015",
"authors": [
"Harold Blas"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"title": "Vector NLS hierarchy solitons revisited: dressing transformation and tau function approach",
"url": "https://arxiv.org/abs/solv-int/9912015"
},
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