|
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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf8853https://doi.org/10.4213/tmf8853 https://www.mathnet.ru/eng/tmf/v185/i3/p410
|
Statistics & downloads: |
Abstract page: | 320 | Full-text PDF : | 114 | References: | 69 | First page: | 27 |
|