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Mañas Baena, Manuel and Martínez Alonso, Luis and Álvarez Fernández, Carlos (2009) The multicomponent 2D Toda hierarchy: discrete flows and string equations. Inverse problems, 25 (6). ISSN 0266-5611
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Official URL: http://dx.doi.org/10.1088/0266-5611/25/6/065007
Abstract
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.
Item Type: | Article |
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Additional Information: | ©IOP Publishing. |
Uncontrolled Keywords: | Multidimensional quadrilateral lattices; Nonintersecting brownian motions; Dispersionless kp hierarchy; Universal whitham hierarchy; Matrix models; Additional symmetries; Hodograph solutions; Integrable hierarchies; Hankel-matrices; Reductions |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 32441 |
Deposited On: | 21 Jul 2015 08:48 |
Last Modified: | 10 Dec 2018 15:09 |
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