dorsal/arxiv
View SchemaAn integrable shallow water equation with peaked solitons
| Authors | Roberto Camassa, Darryl D. Holm |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9305002 |
| URL | https://arxiv.org/abs/patt-sol/9305002 |
| DOI | 10.1103/PhysRevLett.71.1661 |
Abstract
We derive a new completely integrable dispersive shallow water equation that is biHamiltonian and thus possesses an infinite number of conservation laws in involution. The equation is obtained by using an asymptotic expansion directly in the Hamiltonian for Euler's equations in the shallow water regime. The soliton solution for this equation has a limiting form that has a discontinuity in the first derivative at its peak.
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"abstract": "We derive a new completely integrable dispersive shallow water equation that\nis biHamiltonian and thus possesses an infinite number of conservation laws in\ninvolution. The equation is obtained by using an asymptotic expansion directly\nin the Hamiltonian for Euler\u0027s equations in the shallow water regime. The\nsoliton solution for this equation has a limiting form that has a discontinuity\nin the first derivative at its peak.",
"arxiv_id": "patt-sol/9305002",
"authors": [
"Roberto Camassa",
"Darryl D. Holm"
],
"categories": [
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],
"doi": "10.1103/PhysRevLett.71.1661",
"title": "An integrable shallow water equation with peaked solitons",
"url": "https://arxiv.org/abs/patt-sol/9305002"
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