19 citations · 39 across the 12 of their papers we have counts for
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Matrix commuting differential operators of rank 2
Vardan Oganesyan
In this paper we propose a very effective method for constructing matrix commuting differential operators of rank 2 and vector rank (2,2). We find new matrix commuting differential…
AKNS hierarchy and finite-gap Schrodinger potentials
Vardan Oganesyan
In this paper we study AKNS hierarchy. We find explicit necessary conditions for functions and to be solution of some equation of AKNS hierarchy. Then we construct finite-g…
Common eigenfunctions of commuting differential operators of rank 2
Vardan Oganesyan
In this paper we find coomon eigenfunctions of commuting differential operators of rank 2 with polynomial coefficients in some partial cases.
Commuting differential operators of rank 2 with polynomial coefficients
Vardan Oganesyan
In this paper we study self-adjoint commuting ordinary differential operators with polynomial coefficients. These operators define commutative subalgebras of the first Weyl algebra…