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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 1, Pages 35–49
DOI: https://doi.org/10.4213/tmf8430 (Mi tmf8430) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A note on the extended dispersionless Toda hierarchy

Niann-Chern Leea, Ming-Hsien Tub

a General Education Center, National Chin-Yi University of Technology, Taichung, Taiwan
b National Chung Cheng University
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DOI: https://doi.org/10.4213/tmf8430
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 $\mathbb CP^1$ model. Using the dispersionless Hirota equations, we compute the two-point functions and express the result in terms of Catalan numbers.
Keywords: extended dispersionless Toda hierarchy, dispersionless Hirota equation, Catalan number, topological field theory.
Received: 22.10.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 1, Pages 475–488
DOI: https://doi.org/10.1007/s11232-013-0039-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Niann-Chern Lee, Ming-Hsien Tu, “A note on the extended dispersionless Toda hierarchy”, TMF, 175:1 (2013), 35–49; Theoret. and Math. Phys., 175:1 (2013), 475–488
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8430
  • https://doi.org/10.4213/tmf8430
  • https://www.mathnet.ru/eng/tmf/v175/i1/p35
    • This publication is cited in the following 1 articles:
    1. Hongxia Wu, Jingxin Liu, Haifeng Wang, “Two-Dimensional Dispersionless Toda Lattice Hierarchy: Symmetry, New Extension, Hodograph Solutions, and Reduction”, Mathematics, 12:23 (2024), 3706  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:54
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