The multicomponent 2D Toda hierarchy: discrete flows and string equations
The multicomponent 2D Toda hierarchy is analyzed through a factorization problem associated with an infinite-dimensional group. A new set of discrete flows is considered and the corresponding Lax and Zakharov-Shabat equations are characterized. Reductions of block Toeplitz and Hankel bi-infinite mat...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2009 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/44701 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/44701 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 51-73 Multidimensional quadrilateral lattices Nonintersecting brownian motions Dispersionless kp hierarchy Universal whitham hierarchy Matrix models Additional symmetries Hodograph solutions Integrable hierarchies Hankel-matrices Reductions Física-Modelos matemáticos Física matemática |
| Resumo: | The multicomponent 2D Toda hierarchy is analyzed through a factorization problem associated with an infinite-dimensional group. A new set of discrete flows is considered and the corresponding Lax and Zakharov-Shabat equations are characterized. Reductions of block Toeplitz and Hankel bi-infinite matrix types are proposed and studied. Orlov-Schulman operators, string equations and additional symmetries (discrete and continuous) are considered. The continuous-discrete Lax equations are shown to be equivalent to a factorization problem as well as to a set of string equations. A congruence method to derive site-independent equations is presented and used to derive equations in the discrete multicomponent KP sector (and also for its modification) of the theory as well as dispersive Whitham equations. |
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