A note on the extended dToda hierarchy
Abstract
We give a derivation of dispersionless Hirota equations for the extended dispersionless Toda hierarchy. We show that the dispersionless Hirota equations are nothing but a direct consequence of the genus-zero topological recursion relation for the topological CP1 model. Using the dispersionless Hirota equations we compute the two point functions and express the result in terms of Catalan number.
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