String equations in Whitham hierarchies: tau-functions and Virasoro constraints
A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characterized. Illustrative examples of exact solutions of Whi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51647 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51647 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Dispersionless Kp hierarchy Random-matrix ensemble Toda hierarchy Integrable hierarchies Additional symmetries Conformal-maps Growth curve Limit Física-Modelos matemáticos Física matemática |
| Sumario: | A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characterized. Illustrative examples of exact solutions of Whitham hierarchies are derived and applications to conformal maps dynamics are indicated. |
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