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A note on the extended dispersionless Toda hierarchy

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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 ℂP1 model. Using the dispersionless Hirota equations, we compute the twopoint functions and express the result in terms of Catalan numbers

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Authors and Affiliations

  1. General Education Center, National Chin-Yi University of Technology, Taichung, Taiwan

    Niann-Chern Lee

  2. Department of Physics, National Chung Cheng University, Chiayi, Taiwan

    Ming-Hsien Tu

Authors
  1. Niann-Chern Lee
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  2. Ming-Hsien Tu
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Corresponding author

Correspondence to Niann-Chern Lee.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 1, pp. 35–49, April, 2013.

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Lee, NC., Tu, MH. A note on the extended dispersionless Toda hierarchy. Theor Math Phys 175, 475–488 (2013). https://doi.org/10.1007/s11232-013-0039-8

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  • DOI: https://doi.org/10.1007/s11232-013-0039-8

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