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Mañas Baena, Manuel and Martínez Alonso, Luis (2009) The multicomponent 2D Toda hierarchy: dispersionless limit. Inverse problems, 25 (11). ISSN 0266-5611
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Official URL: http://dx.doi.org/10.1088/0266-5611/25/11/115020
Abstract
The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov-Schulman operators is introduced and the corresponding additional symmetries and string equations are discussed. Then, it is shown how KP and Toda pictures of the dispersionless Whitham hierarchy emerge in the dispersionless limit. Moreover, the additional symmetries and string equations for the dispersive Whitham hierarchy are studied in this limit.
Item Type: | Article |
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Additional Information: | ©IOP Publishing. |
Uncontrolled Keywords: | Nonintersecting brownian motions; Kadomtsev-petviashvili equation; Multiple orthogonal polynomials; Universal whitham hierarchy; Gaussian random matrices; Riemann-hilbert problem; Large-n limit; Kp hierarchy; Additional symmetries; Biorthogonal polynomials |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 31555 |
Deposited On: | 20 Jul 2015 10:57 |
Last Modified: | 10 Dec 2018 15:09 |
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