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math.DG2022★ 8 cited
Orthogonal separation of variables for spaces of constant curvature
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We construct all orthogonal separating coordinates in constant curvature spaces of arbitrary signature. Further, we construct explicit transformation between orthogonal separating…
nlin.SI2022★ 14 cited
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…