9 citations · 35 across the 18 of their papers we have counts for
24 papers
On commutative subalgebras of the Weyl algebra that are related to commuting operators of arbitrary rank and genus
O. I. Mokhov
We construct examples of commuting ordinary scalar differential operators with polynomial coefficients that are related to a spectral curve of an arbitrary genus g and to an arbitr…
On Initial Data in the Problem of Consistency on Cubic Lattices for Determinants
Oleg I. Mokhov
The paper is devoted to complete proofs of theorems on consistency on cubic lattices for determinants. The discrete nonlinear equations on defined by th…
Deformations of Poisson structures by closed 3-forms
O. I. Mokhov
We prove that an arbitrary Poisson structure omega^{ij}(u) and an arbitrary closed 3-form T_{ijk}(u) generate the local Poisson structure A^{ij}(u,u_x) = M^i_s(u,u_x)omega^{sj}(u),…
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
O. I. Mokhov
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagona…
Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces
O. I. Mokhov
We introduce a class of k-potential submanifolds in pseudo-Euclidean spaces and prove that for an arbitrary positive integer k and an arbitrary nonnegative integer p, each N-dimens…
Consistency on cubic lattices for determinants of arbitrary orders
O. I. Mokhov
We consider a special class of two-dimensional discrete equations defined by relations on elementary NxN squares, N>2, of the square lattice Z^2, and propose a new type of consiste…