695 citations
- Aalto UniversityFI73 papers
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math-ph2000★ 37 cited
On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy
A. P. Veselov
A generalisation of the Stieltjes relations for the Painlevé-IV transcendents and their higher analogues determined by the dressing chains is proposed. It is proven that if a ratio…
math-ph2000★ 55 cited
Integrable Schrödinger operators with magnetic fields: factorisation method on curved surfaces
E. V. Ferapontov, A. P. Veselov
The factorisation method for Schrödinger operators with magnetic fields on a two-dimensional surface with non-trivial metric is investigated. This leads to the new integrable…
math-ph2000★ 23 cited
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…