20 citations · 77 across the 5 of their papers we have counts for
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On discrete integrable equations of higher order
V. E. Adler, V. V. Postnikov
We study 2D discrete integrable equations of order 1 with respect to one independent variable and with respect to another one. A generalization of the multidimensional consiste…
Differential-difference equations associated with the fractional Lax operators
V. E. Adler, V. V. Postnikov
We study integrable hierarchies associated with spectral problems of the form where are difference operators. The corresponding nonlinear differential-difference equ…
Linear problems and Bäcklund transformations for the Hirota-Ohta system
V. E. Adler, V. V. Postnikov
The auxiliary linear problems are presented for all discretization levels of the Hirota-Ohta system. The structure of these linear problems coincides essentially with the structure…
On vector analogs of the modified Volterra lattice
V. E. Adler, V. V. Postnikov
Modified Volterra lattice admits two vector generalizations. One of them is studied for the first time. The zero curvature representations, Bäcklund transformations, nonlinear supe…