Solitones singulares y regulares en la ecuación no lineal de Kadomtsev-Petvishvili
The Kadomtsev-Petviashvili equation for shallow water waves with negative dispersion (KP) can be reduced to the Boussinesq type (TBq) equation utt uxx + (u2)xx + uxxxx = 0 by means of infinitesimal transformations of Lies method. We use the one-dimensional soliton-solutions of the TBq equation in...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | México |
| Institución: | Universidad Autónoma del Estado de México |
| Repositorio: | Redalyc-UAEMEX |
| OAI Identifier: | oai:redalyc.org:10402209 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=10402209 |
| Access Level: | acceso abierto |
| Palabra clave: | Multidisciplinarias (Ciencias Sociales) solitons non linear waves singular solitons |
| Sumario: | The Kadomtsev-Petviashvili equation for shallow water waves with negative dispersion (KP) can be reduced to the Boussinesq type (TBq) equation utt uxx + (u2)xx + uxxxx = 0 by means of infinitesimal transformations of Lies method. We use the one-dimensional soliton-solutions of the TBq equation in order to obtain two-dimensional soliton-solutions of the KP equation. We analyze some remarkable properties of these solutions. |
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