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Solutions of the dispersionless Toda hierarchy constrained by string equations

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Martínez Alonso, Luis and Medina Reus, Elena (2004) Solutions of the dispersionless Toda hierarchy constrained by string equations. Journal of physics A: Mathematical and general, 37 (50). pp. 12005-12017. ISSN 0305-4470

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Official URL: http://dx.doi.org/10.1088/0305-4470/37/50/005




Abstract

Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and integrable structures of two-dimensional quantum gravity and Laplacian growth problems.


Item Type:Article
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©IOP Publishing.
The authors are grateful to Prof. Manuel Mañas for many useful discussions.

Uncontrolled Keywords:Boyer-Finley equation; Einstein-Weyl spaces; Hodograph transformation; Integrable hierarchies; Heavenly equation; Group foliation; Kp hierarchy; Tau-function; Symmetries; Limit
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34357
Deposited On:18 Nov 2015 19:01
Last Modified:10 Dec 2018 15:09

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