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math-ph2024
Thoughts about potentials with finite-band spectrum and finite-dimensional reductions of integrable systems
Andrey Yu. Konyaev, Vladimir S. Matveev
We repeat, using methods developed for BKM systems, the famous results of S. Novikov (1974), J. Moser (1981, 1982) , and A. Veselov (1980) that relate Schrödinger-Hill operators wi…
math-ph2024
Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well-known…
math-ph2021★ 10 cited
Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations
Andrey Yu. Konyaev
We introduce a natural class of multicomponent local Poisson structures , where is a local Poisson bracket of order one and $\mathcal P_…