dorsal/arxiv
View SchemaOn completeness of the Ribaucour transformations for triply orthogonal curvilinear coordinate systems in R^3
| Authors | E. I. Ganzha |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9606002 |
| URL | https://arxiv.org/abs/solv-int/9606002 |
Abstract
In this paper we solve positively the problem of (local) density of solutions of the (2+1)-dimentional integrable system describing triply orthogonal curvilinear coordinates in R^3 (a (2+1)-dimensional generalization of the 3-wave system) obtainable from a given initial solution with consecutive B\"acklund transformations (called Ribaucour transformations in classical differential geometry) in the space of all solutions of the system in question.
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"abstract": "In this paper we solve positively the problem of (local) density of solutions\nof the (2+1)-dimentional integrable system describing triply orthogonal\ncurvilinear coordinates in R^3 (a (2+1)-dimensional generalization of the\n3-wave system) obtainable from a given initial solution with consecutive\nB\\\"acklund transformations (called Ribaucour transformations in classical\ndifferential geometry) in the space of all solutions of the system in question.",
"arxiv_id": "solv-int/9606002",
"authors": [
"E. I. Ganzha"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On completeness of the Ribaucour transformations for triply orthogonal curvilinear coordinate systems in R^3",
"url": "https://arxiv.org/abs/solv-int/9606002"
},
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