Analytic functions and integrable hierarchies--characterization of tau functions
arXiv:hep-th/0305005
Abstract
We prove the dispersionless Hirota equations for the dispersionless Toda, dispersionless coupled modified KP and dispersionless KP hierarchies using an idea from classical complex analysis. We also prove that the Hirota equations characterize the tau functions for each of these hierarchies. As a result, we establish the links between the hierarchies.
23 pages, typos and terminologies corrected
References in corpus (5)
- Integrable Hierarchies and Dispersionless Limit
- Integrable Structure of the Dirichlet Boundary Problem in Two Dimensions
- Solution of the dispersionless Hirota equations
- Dispersionless Toda hierarchy and two-dimensional string theory
- On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies