On the Dirichlet Boundary Problem and Hirota Equations

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dc.creatorMarshakov, A.
dc.creatorZabrodin, A.
dc.date2003-05-30
dc.date.accessioned2026-07-07T04:15:18Z
dc.date.available2026-07-07T04:15:18Z
dc.descriptionWe review the integrable structure of the Dirichlet boundary problem in two dimensions. The solution to the Dirichlet boundary problem for simply-connected case is given through a quasiclassical tau-function, which satisfies the Hirota equations of the dispersionless Toda hierarchy, following from properties of the Dirichlet Green function. We also outline a possible generalization to the case of multiply-connected domains related to the multi-support solutions of matrix models.
dc.descriptionBased on the talks given by the authors at NATO ARW on Hirota equations, Elba, Italy, September 2002; LaTeX, 13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0305259
dc.identifierhttp://arxiv.org/abs/hep-th/0305259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51948
dc.subjectHigh Energy Physics - Theory
dc.titleOn the Dirichlet Boundary Problem and Hirota Equations
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