The \(\tau\)-function for analytic curves (Q2759652)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The \(\tau\)-function for analytic curves |
scientific article; zbMATH DE number 1683615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(\tau\)-function for analytic curves |
scientific article; zbMATH DE number 1683615 |
Statements
18 December 2001
0 references
solitons
0 references
\(\tau\)-functions
0 references
inverse potential problem
0 references
area preserving diffeomorphisms
0 references
Dirichlet boundary value problem
0 references
matrix models
0 references
The \(\tau\)-function for analytic curves (English)
0 references
It is well-known from the theory of solitons, that solutions of an integrable hierarchy are represented by \(\tau\)-functions. The dispersionless limit of the \(\tau\)-functions emerges as a natural object associated with the curves. Here the authors review the concept of \(\tau\)-function for simple analytic curves and discuss its connection to the inverse potential problem, area preserving diffeomorphisms, the Dirichlet boundary value problem, and matrix models.NEWLINENEWLINEFor the entire collection see [Zbl 0967.00059].
0 references
