2026-06-27T01:08:44Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/447012024-08-26T17:15:07Zcom_20.500.14352_14col_20.500.14352_15

Mañas Baena, Manuel Enrique Martínez Alonso, Luis Álvarez Fernández, Carlos 2023-06-20T03:56:30Z 2023-06-20T03:56:30Z 2009-06 0266-5611 10.1088/0266-5611/25/6/065007 https://hdl.handle.net/20.500.14352/44701 http://dx.doi.org/10.1088/0266-5611/25/6/065007 http://arxiv.org/abs/0809.2720 http://iopscience.iop.org 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. eng open access The multicomponent 2D Toda hierarchy: discrete flows and string equations journal article