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Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit |
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| Authors: | V E Akhmedova A V Zabrodin |
| Institution: | 1. National Research University Higher School of Economics, Moscow, Russia 2. Institute of Biochemical Physics, Moscow, Russia 3. Institute for Theoretical and Experimental Physics, Moscow, Russia |
| Abstract: | We show that the dispersionless limits of the Pfaff–KP (also known as the DKP 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. |
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