dorsal/arxiv
View SchemaReduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations
| Authors | Q. P. Liu, M. Manas |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9805005 |
| URL | https://arxiv.org/abs/solv-int/9805005 |
Abstract
The vectorial fundamental transformation for the Darboux equations is reduced to the symmetric case. This is combined with the orthogonal reduction of Lame type to obtain those vectorial Ribaucour transformations which preserve the Egoroff reduction. We also show that a permutability property holds for all these transformations. Finally, as an example, we apply these transformations to the Cartesian background.
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"abstract": "The vectorial fundamental transformation for the Darboux equations is reduced\nto the symmetric case. This is combined with the orthogonal reduction of Lame\ntype to obtain those vectorial Ribaucour transformations which preserve the\nEgoroff reduction. We also show that a permutability property holds for all\nthese transformations. Finally, as an example, we apply these transformations\nto the Cartesian background.",
"arxiv_id": "solv-int/9805005",
"authors": [
"Q. P. Liu",
"M. Manas"
],
"categories": [
"solv-int",
"math-ph",
"math.DG",
"math.MP",
"nlin.SI"
],
"title": "Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations",
"url": "https://arxiv.org/abs/solv-int/9805005"
},
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