On the Dirichlet boundary problem and Hirota equations

被引：0

作者：

Marshakov, A. ^{[1
]}

Zabrodin, A. ^{[2
]}

机构：

[1] PN Lebedev Phys Inst, Theory Dept, ITEP, Leninsky Prospect 53, Moscow 117924, Russia

[2] Inst Biochem Phys, ITEP, Moscow, Russia

来源：

BILINEAR INTEGRABLE SYSTEMS: FROM CLASSICAL TO QUATUM, CONTINUOUS TO DISCRETE | 2006年 / 201卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We 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.

引用

页码：175 / +

页数：3

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