A note on the extended dispersionless Toda hierarchy |
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| Authors: | Niann-Chern Lee Ming-Hsien Tu |
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| Institution: | 139. General Education Center, National Chin-Yi University of Technology, Taichung, Taiwan
239. Department of Physics, National Chung Cheng University, Chiayi, Taiwan
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| Abstract: | We derive dispersionless Hirota equations for the extended dispersionless Toda hierarchy. We show that the dispersionless Hirota equations are just a direct consequence of the genus-zero topological recurrence relation for the topological ?P1 model. Using the dispersionless Hirota equations, we compute the twopoint functions and express the result in terms of Catalan numbers |
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