String equations in Whitham hierarchies: τ-functions and Virasoro constraints
Author(s) -
Luis Martı́nez Alonso,
Елена Медина,
Manuel Mañas
Publication year - 2006
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.2218982
Subject(s) - conformal map , string (physics) , mathematics , class (philosophy) , differential equation , virasoro algebra , algebra over a field , pure mathematics , mathematical analysis , mathematical physics , computer science , artificial intelligence , cellular algebra , algebra representation
A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function 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
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