2000]Primary 37K10, 37K20; Secondary 32A05, 30B10 ANALYTIC FUNCTIONS AND INTEGRABLE HIERARCHIES-CHARACTERIZATION OF TAU FUNCTIONS

@inproceedings{Teo20032000Primary33,
  title={2000]Primary 37K10, 37K20; Secondary 32A05, 30B10 ANALYTIC FUNCTIONS AND INTEGRABLE HIERARCHIES-CHARACTERIZATION OF TAU FUNCTIONS},
  author={L. C. D. Teo},
  year={2003}
}
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. 
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