Solutions of the dispersionless Toda hierarchy constrained by string equations
Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and integrable structures of two-dimensional quantum gravit...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51652 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51652 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Boyer-Finley equation Einstein-Weyl spaces Hodograph transformation Integrable hierarchies Heavenly equation Group foliation Kp hierarchy Tau-function Symmetries Limit Física-Modelos matemáticos Física matemática |
| Sumario: | Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and integrable structures of two-dimensional quantum gravity and Laplacian growth problems. |
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