The Whitham hierarchies: reductions and hodograph solutions
A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a method for determining the S-function by means of a system of first-order partial differential equations. Compatibility systems of differential equations characterizing both reductions and hodograph solut...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51539 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51539 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Kp hierarchy Integrable hierarchies Benney equations Conformal-maps Dispersionless Limit Física-Modelos matemáticos Física matemática |
| Sumario: | A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a method for determining the S-function by means of a system of first-order partial differential equations. Compatibility systems of differential equations characterizing both reductions and hodograph solutions of Whitham hierarchies are obtained. The method is illustrated by exhibiting solutions of integrable models such as the dispersionless Toda equation (heavenly equation) and the generalized Benney system. |
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