108 citations · 189 across the 17 of their papers we have counts for
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On the local systems Hamiltonian in the weakly nonlocal Poisson brackets
A. Ya. Maltsev, S. P. Novikov
We study in this work the important class of nonlocal Poisson Brackets (PB) which we call weakly nonlocal. They appeared recently in some investigations in the Soliton Theory. Howe…
Various doublings of Hopf Algebras. Algebras of Operators on Quantum Groups and Complex Cobordisms
S. P. Novikov
Family of doublings of Hopf algeras based on the product of algebra and its dual are constructed and studied. Special cases of these construction may be considered as natural quant…
The Schrödinger operator on graphs and topology
S. P. Novikov
Symplectic vector-valued scalar product is constructed on the spaces of solutions of the real discrete Shrodinger equation with fixed value of the spectral parameter on graphs. It…
Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
S. P. Novikov, I. A. Dynnikov
Euler-Darboux-Backlund and Laplace transformations are considered for the one- and two-dimensional Schrodinger operators. Their discrete analogs are constructed and generalized for…
Exactly solvable two-dimensional Schrodinger operators and Laplace transformations
S. P. Novikov, A. P. Veselov
Different cases of sequences of the Laplace Transformations for the 2D Schrodinger operator in the periodic magnetic field and electric potential are considered. They lead to the e…
Periodic and almost periodic potentials in the inverse problems
I. M. Krichever, S. P. Novikov
We review basic ideas and basic examples of the theory of the inverse spectral problems.