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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 2, Pages 299–316
DOI: https://doi.org/10.4213/tmf10518 (Mi tmf10518) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Tau-function of the B-Toda hierarchy

A. V. Zabrodinab, V. V. Prokofevab

a Skolkovo Institute of Science and Technology, Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (435 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10518
Abstract: We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization of the BKP hierarchy. We introduce the tau function of the B-Toda hierarchy and obtain bilinear equations for it. Examples of soliton tau functions are presented in explicit form.
Keywords: Toda lattice, tau function, soliton solutions.
Funding agency Grant number
Russian Science Foundation 19-11-00062
This work was supported by the Russian Science Foundation under grant No. 19-11-00062, https://rscf.ru/en/project/19-11-00062/.
Received: 12.04.2023
Revised: 12.04.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 2, Pages 1673–1688
DOI: https://doi.org/10.1134/S0040577923110041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zabrodin, V. V. Prokofev, “Tau-function of the B-Toda hierarchy”, TMF, 217:2 (2023), 299–316; Theoret. and Math. Phys., 217:2 (2023), 1673–1688
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v217/i2/p299
    • This publication is cited in the following 4 articles:
    1. Yi Yang, Wenjuan Rui, Jipeng Cheng, “Bigraded modified Toda hierarchy and its extensions”, Physica D: Nonlinear Phenomena, 469 (2024), 134343  crossref
    2. A. Zabrodin, “Dispersionless limit of the B-Toda hierarchy”, Anal.Math.Phys., 14:6 (2024)  crossref
    3. Wenchuang Guan, Shen Wang, Wenjuan Rui, Jipeng Cheng, “Lax structure and tau function for large BKP hierarchy”, Lett Math Phys, 115:1 (2024)  crossref
    4. Wenjuan Rui, Wenchuang Guan, Yi Yang, Jipeng Cheng, “The Modified Toda Hierarchy”, SIGMA, 20 (2024), 110, 21 pp.  mathnet  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:38
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