Elliptic parameterization of Pfaff integrable hierarchies in the~zero-dispersion limit
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 410-422
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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.
@article{TMF_2015_185_3_a1,
author = {V. E. Akhmedova and A. V. Zabrodin},
title = {Elliptic parameterization of {Pfaff} integrable hierarchies in the~zero-dispersion limit},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {410--422},
publisher = {mathdoc},
volume = {185},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/}
}
TY - JOUR AU - V. E. Akhmedova AU - A. V. Zabrodin TI - Elliptic parameterization of Pfaff integrable hierarchies in the~zero-dispersion limit JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2015 SP - 410 EP - 422 VL - 185 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/ LA - ru ID - TMF_2015_185_3_a1 ER -
%0 Journal Article %A V. E. Akhmedova %A A. V. Zabrodin %T Elliptic parameterization of Pfaff integrable hierarchies in the~zero-dispersion limit %J Teoretičeskaâ i matematičeskaâ fizika %D 2015 %P 410-422 %V 185 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/ %G ru %F TMF_2015_185_3_a1
V. E. Akhmedova; A. V. Zabrodin. Elliptic parameterization of Pfaff integrable hierarchies in the~zero-dispersion limit. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 410-422. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/