Reductive Perturbation Method, Multiple-Time Solutions and the KdV Hierarchy
| dc.creator | Kraenkel, R. A. | |
| dc.creator | Manna, M. A. | |
| dc.creator | Montero, J. C. | |
| dc.creator | Pereira, J. G. | |
| dc.date | 1995-09-25 | |
| dc.date.accessioned | 2026-07-07T09:16:00Z | |
| dc.date.available | 2026-07-07T09:16:00Z | |
| dc.description | We apply a multiple-time version of the reductive perturbation method to study long waves as governed by the Boussinesq model equation. By requiring the absence of secular producing terms in each order of the perturbative scheme, we show that the solitary-wave of the Boussinesq equation can be written as a solitary-wave satisfying simultaneously all equations of the KdV hierarchy, each one in a different slow time variable. We also show that the conditions for eliminating the secularities are such that they make the perturbation theory compatible with the linear theory coming from the Boussinesq equation. | |
| dc.description | 11 pages, RevTex, to appear in the proceedings of the workshop "Nonlinear Physics: Theory and Experiment", Gallipoli, Italy, June 29-July 7, 1995 (World Scientific, 1995) | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9509003 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9509003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153212 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Reductive Perturbation Method, Multiple-Time Solutions and the KdV Hierarchy | |
| dc.type | text |