Showing math-phShow all
2 papers · 1 filter
math-ph2025
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 w…
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…