Travelling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations
"Travelling-wave solutions of the standard and compound form of Korteweg-de Vries-Burgers equations are found using factorizations of the correspond-ing reduced ordinary differential equations. The procedure leads to solutions of Bernoulli equations of nonlinearity 3/2 and 2 (Riccati), respectiv...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2006 |
| País: | México |
| Institución: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repositorio: | Repositorio Institucional del IPICYT |
| Idioma: | inglés |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/908 |
| Acceso en línea: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/885 http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/908 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Autor/Travelling wave solutions info:eu-repo/classification/Autor/Factorization method info:eu-repo/classification/Autor/Compound KdVB equation info:eu-repo/classification/cti/1 |
| Sumario: | "Travelling-wave solutions of the standard and compound form of Korteweg-de Vries-Burgers equations are found using factorizations of the correspond-ing reduced ordinary differential equations. The procedure leads to solutions of Bernoulli equations of nonlinearity 3/2 and 2 (Riccati), respectively. In-troducing the initial conditions through an imaginary phase in the travelling coordinate, we obtain all the solutions previously reported, some of them being corrected here, and showing, at the same time, the presence of inter-esting details of these solitary waves that have been overlooked before this investigation." |
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