53 citations · 193 across the 25 of their papers we have counts for
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Existence of Riemannian invariants for integrable systems of hydrodynamic type
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We show that for a hyperbolic system of hydrodynamic type admitting n symmetries, there exists a coordinate system in which the generator of the system and all the symmetries are d…
Lax pairs for BKM hierarchy
Andrey Yu. Konyaev, Vladimir S. Matveev
We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cas…
Stäckel problem for non-diagonal Killing tensors: Yano-Patterson lifts, algebra of strong symmetries and quadratic in momenta integrals
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We construct integrable Hamiltonian systems such that functionally independent Poisson commuting integrals are quadratic in the momenta. Unlike the classical Stäckel setting, we al…
Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We construct a new series of multicomponent integrable PDE systems that contain as particular example (with appropriately chosen parameters) many famous integrable systems includin…