%0 Journal Article
%A Mañas Baena, Manuel Enrique
%A Martínez Alonso, Luis
%A Álvarez Fernández, Carlos
%T The multicomponent 2D Toda hierarchy: discrete flows and string equations
%D 2009
%@ 0266-5611
%U https://hdl.handle.net/20.500.14352/44701
%X 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.
%~