dorsal/arxiv
View SchemaSolitons in the Camassa-Holm Shallow Water Equation
| Authors | Fred Cooper, Harvey Shepard |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9311006 |
| URL | https://arxiv.org/abs/patt-sol/9311006 |
| DOI | 10.1016/0375-9601(94)91246-7 |
Abstract
We study the class of shallow water equations of Camassa and Holm derived from the Lagrangian: $ L= \int \left( \frac{1}{2} (\varphi_{xxx}-\varphi_{x} )\varphi_{t} - {1 \over 2} {(\varphi_{x})^{3}} - {1 \over 2}\varphi_{x}(\varphi_{xx})^{2} - {1 \over 2} \kappa \varphi_{x}^{2} \right) dx, $
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"date_created": "2026-03-02T18:00:28.839000Z",
"date_modified": "2026-03-02T18:00:28.839000Z",
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"abstract": "We study the class of shallow water equations of Camassa and Holm derived\nfrom the Lagrangian: $ L= \\int \\left( \\frac{1}{2} (\\varphi_{xxx}-\\varphi_{x}\n)\\varphi_{t} - {1 \\over 2} {(\\varphi_{x})^{3}} - {1 \\over\n2}\\varphi_{x}(\\varphi_{xx})^{2} - {1 \\over 2} \\kappa \\varphi_{x}^{2} \\right)\ndx, $",
"arxiv_id": "patt-sol/9311006",
"authors": [
"Fred Cooper",
"Harvey Shepard"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/0375-9601(94)91246-7",
"title": "Solitons in the Camassa-Holm Shallow Water Equation",
"url": "https://arxiv.org/abs/patt-sol/9311006"
},
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