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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 3, Pages 410–422
DOI: https://doi.org/10.4213/tmf8853 (Mi tmf8853) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit

V. E. Akhmedovaa, A. V. Zabrodinbca

a National Research University Higher School of Economics, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
c Institute of Biochemical Physics, Moscow, Russia
Full-text PDF (466 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8853
Abstract: We show that the dispersionless limits of the Pfaff–KP {(}also known as the $D$KP or Pfaff lattice{)} and the Pfaff–Toda hierarchies admit a reformulation in terms of elliptic functions. In the elliptic form, they look like natural elliptic deformations of the respective dispersionless KP and two-dimensional Toda hierarchies.
Keywords: integrable hierarchy, elliptic function, Loewner equation.
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 3, Pages 1718–1728
DOI: https://doi.org/10.1007/s11232-015-0374-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. E. Akhmedova, A. V. Zabrodin, “Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit”, TMF, 185:3 (2015), 410–422; Theoret. and Math. Phys., 185:3 (2015), 1718–1728
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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