dorsal/arxiv
View SchemaThe Camassa-Holm Equation: A Loop Group Approach
| Authors | Jeremy Schiff |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9709010 |
| URL | https://arxiv.org/abs/solv-int/9709010 |
| DOI | 10.1016/S0167-2789(98)00099-2 |
Abstract
A map is presented that associates with each element of a loop group a solution of an equation related by a simple change of coordinates to the Camassa-Holm (CH) Equation. Certain simple automorphisms of the loop group give rise to Backlund transformations of the equation. These are used to find 2-soliton solutions of the CH equation, as well as some novel singular solutions.
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"abstract": "A map is presented that associates with each element of a loop group a\nsolution of an equation related by a simple change of coordinates to the\nCamassa-Holm (CH) Equation. Certain simple automorphisms of the loop group give\nrise to Backlund transformations of the equation. These are used to find\n2-soliton solutions of the CH equation, as well as some novel singular\nsolutions.",
"arxiv_id": "solv-int/9709010",
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"doi": "10.1016/S0167-2789(98)00099-2",
"title": "The Camassa-Holm Equation: A Loop Group Approach",
"url": "https://arxiv.org/abs/solv-int/9709010"
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