dorsal/arxiv
View SchemaBoussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy
| Authors | R. A. Kraenkel, M. A. Manna, J. C. Montero, J. G. Pereira |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9507005 |
| URL | https://arxiv.org/abs/patt-sol/9507005 |
| DOI | 10.1063/1.531190 |
Abstract
We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through the use of the Korteweg--de Vries hierarchy, we show that the solitary--wave of the Boussinesq equation is a solitary--wave satisfying simultaneously all equations of the Korteweg--de Vries hierarchy, each one in an appropriate slow time variable.
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"abstract": "We study the Boussinesq equation from the point of view of a multiple-time\nreductive perturbation method. As a consequence of the elimination of the\nsecular producing terms through the use of the Korteweg--de Vries hierarchy, we\nshow that the solitary--wave of the Boussinesq equation is a solitary--wave\nsatisfying simultaneously all equations of the Korteweg--de Vries hierarchy,\neach one in an appropriate slow time variable.",
"arxiv_id": "patt-sol/9507005",
"authors": [
"R. A. Kraenkel",
"M. A. Manna",
"J. C. Montero",
"J. G. Pereira"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1063/1.531190",
"title": "Boussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy",
"url": "https://arxiv.org/abs/patt-sol/9507005"
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