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
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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.
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页码：175 / +
页数：3
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