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String equations in Whitham hierarchies: τ-functions and Virasoro constraints

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Martínez Alonso, Luis and Medina Reus, Elena and Mañas Baena, Manuel (2006) String equations in Whitham hierarchies: τ-functions and Virasoro constraints. Journal of mathematical physics, 476 (8). ISSN 0022-2488

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Official URL: http://dx.doi.org/10.1063/1.2218982


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Abstract

A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The τ-functions of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characterized. Illustrative examples of exact solutions of Whitham hierarchies are derived and applications to conformal maps dynamics are indicated.


Item Type:Article
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©2006 American Institute of Physics.
Partial economical supports from the Spanish DGCYT Program No. FIS2005-00319 and from the European Science Foundation Program No. MISGAM are acknowledged.

Uncontrolled Keywords:Dispersionless kp hierarchy; Random-matrix ensemble; Toda hierarchy; Integrable hierarchies; Additional symmetries; Conformal-maps; Growth; Curve; Limit
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32446
Deposited On:21 Jul 2015 08:52
Last Modified:10 Dec 2018 15:09

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