A note on the extended dToda hierarchy

Details A note on the extended dToda hierarchy A note on the extended dToda hierarchy

2011-12-20

arxiv.org/abs/1112.4569v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 16 pages

Scientific paper

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 $CP^1$ 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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